Rhett has been late on two of his monthly rent payments, but his landlord does not charge late fees and so he will be able to pay their total cost with 3/5 of his next month's salary after taxes. If he is currently paid $5000 per month and has to pay 10% tax, calculate his rent expense per month?

How much does Rhett pay in taxes? ** If Rhett is currently paid $5000 per month, he pays 10/100*$5000 = $

<<10/100*5000=500>>500 in taxes. How much will Rhett pay in total? ** Rhett has been late on two of his monthly rent payments and plans to pay them with 3/5*$4500=$<<3/5*4500=2700>>2700 from his salary after taxes. How much is Rhett's monthly rent expense? ** If he is to pay $2700 for two late monthly rent payments, his monthly rent expense is $2700/2=$<<2700/2=1350>>1350 #### 1350 Adam bought 15 apples on Monday. On Tuesday he bought 3 times that quantity. On Wednesday he bought 4 times the quantity he bought on Tuesday. What is the total quantity Adam bought on these three days? How many apples did Adam buy on Tuesday? ** On Tuesday, Adam bought 3 * 15 apples = <<3*15=45>>45 apples. How many apples did Adam buy on Wednesday? ** On Wednesday, Adam bought 4 * 45 apples = <<4*45=180>>180 apples. What is the total quantity Adam bought on these three days? ** Adam bought 15 apples + 45 apples + 180 apples = <<15+45+180=240>>240 apples on the three days. #### 240 A mountain range has 200 active volcanoes. In a particular year, 20% of the volcanoes exploded in the first two months, 40% of the remaining exploded by the half of the year, and at the end of the year, another 50% of the volcanoes that hadn't already erupted also exploded. How many mountains are still intact at the end of the year? How many mountains erupted in the first two months? ** By the first two months, 20/100*200 = <<20/100*200=40>>40 mountains had erupted. How many mountains are left after the first round of explosions? ** The total number of mountains remaining after the first round of explosions is 200-40= <<200-40=160>>160 How many mountains were still intact after the second round of explosions? ** When 40% of the remaining mountains exploded, the number of mountains that were still intact decreased by 40/100*160 = <<40/100*160=64>>64 How many mountains hadn't exploded after the second round of explosions? ** The number of mountains that hadn't exploded after the second explosions is 160-64 = <<160-64=96>>96 How many mountains hadn ** When 50% of the mountains which were still intact exploded, the number of mountains that hadn't erupted was reduced by 50/100*96 = <<50/100*96=48>>48 How many mountains were still intact at the end of the year? ** At the end of the year, 96-48 = <<96-48=48>>48 mountains remained intact and hadn't exploded. #### 48 In a grocery store, Julia bought 2 pieces of Snickers and 3 packs of M&M's. If each piece of Snickers costs $1.5 and a pack of M&M's has the same cost as 2 Snickers, how much is Julia's change if she gave the cashier 2 $10 bills? How much do two pieces of Snickers cost? ** Two pieces of snickers cost $1.5 x 2 = $<<1.5*2=3>>3. How much do 3 packs of M&M's cost? ** One pack of M&M's costs $3 so 3 packs cost $3 x 3 = $<<3*3=9>>9. How much does Julia need to pay? ** The total amount that she needs to pay is $3 + $9 = $<<3+9=12>>12. How much did Julia give the cashier? ** Julia gave the cashier $10 x 2 = $<<10*2=20>>20. How much is Julia's change? ** So, her change is $20 - $12 = $<<20-12=8>>8. #### 8 James spends 10 minutes downloading a game, half as long installing it, and triple that combined amount of time going through the tutorial. How long does it take before he can play the main game? How long does it take to install the game? ** First divide the download time in half to find the install time: 10 minutes / 2 = <<10/2=5>>5 minutes How long does it take to download and install the game? ** Then add that amount of time to the download time: 5 minutes + 10 minutes = <<5+10=15>>15 minutes How long does it take to go through the tutorial? ** Then triple that amount of time to find the tutorial time: 15 minutes * 3 = <<15*3=45>>45 minutes How long does it take before he can play the main game? ** Then add that time to the install and downtime time to find the total time: 45 minutes + 15 minutes = <<45+15=60>>60 minutes #### 60 From his apartment, Kona drives 9 miles to the bakery. From there, he drives 24 miles to his grandmother’s house. From her house, he drives 27 miles straight to his apartment. How many additional miles did Kona drive round trip to the bakery stop, compared to a round trip without the bakery stop? How many miles did Kona drive round trip to the bakery stop? ** With the bakery stop, Kona drove a total of 9 + 24 + 27 = <<9+24+27=60>>60 miles. How many miles did Kona drive round trip without the bakery stop? ** Without the bakery stop, Kona drove a total of 27 + 27 = <<27+27=54>>54 miles. How many additional miles did Kona drive round trip to the bakery stop, compared to a round trip without the bakery stop? ** With the bakery stop, Kona drives an additional 60 - 54 = <<60-54=6>>6 miles. #### 6 Tina decides to fill a jar with coins. In the first hour she puts in 20 coins. During the next two hours she puts in 30 coins each time. During the fourth hour she puts in 40 coins. During the fifth hour her mother asks to borrow some money so she takes 20 coins out. How many coins are left after the fifth hour? How many coins are there after the first four hours? ** There are 20 coins during the first hour. 30 coins are added during the second and third hours and 40 coins are added during the fourth hour. By the fourth hour there are 20+30+30+40 =<<20+30+30+40=120>>120 coins How many coins are left after the fifth hour? ** The number of coins after giving 20 to her mother is 120-20=<<120-20=100>>100 #### 100 Miles and Daphne are comparing their reading collection and want to figure out who has more pages. They are about to count each page, but their parents suggest that they see whose collection is taller. Mile's collection is taller, but then Daphne notices that Miles reads board books, and so the pages are thicker. After some more measuring, they figure out that for Miles, 1 inch equals 5 pages, but for Daphne 1 inch equals 50 pages. If Miles's books are 240 inches tall and Daphne's collection is 25 inches tall, how many pages are in the longest collection? How many pages are in Miles's collection? ** Miles's collection has 1,200 pages because 240 x 5 = <<240*5=1200>>1,200 How many pages are in Daphne's collection? ** Daphne's collection has 1,250 pages because 25 x 50 = <<25*50=1250>>1,250 How many pages are in the largest collection? ** The largest collection has 1,250 pages because 1,250 > 1,200 #### 1250 For his birthday, Aku invited 4 friends. His mother bought 3 packages of cookies each containing 25 cookies. After playing football, the children came to eat and celebrate Aku's 10th birthday, each eating an equal number of all the cookies. Calculate the number of cookies that each child will eat. How many cookies are there? ** Let’s first calculate the total number of cookies: 25 X 3 = 75 cookies How many cookies will each child eat? ** Let us now share these cookies among the 5 children: 75 / 5 =<<75/5=15>>15 cookies #### 15 Rodney is a door-to-door salesman trying to sell home security systems. He gets a commission of $25 for each system he sells. He is canvassing a neighborhood of four streets with eight houses each. The first street gave him half the sales that the second street did, while every house on the third street turned him away and the fourth street resulted in only one sale. His total commission was $175. How many security systems did he sell on the second street? Define a variable ** Let S be the number of systems Rodney sold on the first street. How many systems did Rodney sell on the second street? ** He sold 2S systems on the second street. How many systems did Rodney sell? ** Based on his commission, he sold 175 / 25 = <<175/25=7>>7 systems. How many systems did Rodney sell? ** In all, he sold S + 2S + 0 + 1 = 3S + 1 = 7 systems. How many systems did Rodney sell on the first and second streets? ** On the first and second streets, he sold 3S = 7 - 1 = 6 systems. How many systems did Rodney sell on the first street? ** Thus, on the first street he sold S = 6 / 3 = <<6/3=2>>2 systems. How many systems did Rodney sell on the second street? ** On the second street, Rodney sold 2 * 2 = <<2*2=4>>4 security systems. #### 4