Jenna's doctor tells her that she should tan no more than 200 minutes a month. If she tans 30 minutes a day, two days a week for the first two weeks of the month, how many minutes can she tan in the last two weeks of the month?
How many minutes does Jenna tan in the first two weeks? ** First find how many minutes Jenna tans each of the first two weeks: 30 minutes/day * 2 days/week =
<<30*2=60>>60 minutes/week How many minutes does Jenna tan in the first half of the month? ** Then multiply that number by the number of weeks to find how many minutes Jenna tans in the first half of the month: 60 minutes/week * 2 weeks = <<60*2=120>>120 minutes How many minutes can Jenna tan in the last two weeks? ** Then subtract that time from the total time Jenna can spend tanning to find how many more minutes she can tan: 200 minutes - 120 minutes = <<200-120=80>>80 minutes #### 80 Janet is trying to decide whether to quit her job and start freelancing. She works 40 hours a week at both jobs. She get paid $30/hour at her current job, and would get paid $40/hour as a freelancer. However, she'd have to pay an extra $25 a week in FICA taxes plus $400/month in healthcare premiums. How much more would Janet make per month as a freelancer if there are four weeks in a month? How much more would Janet make per hour as a freelancer? ** First find the difference in hourly wages: $40/hour - $30/hour = $<<40-30=10>>10/hour How much more would Janet make per week as a freelancer? ** Then multiply that difference by the number of hours she works in a week to find the weekly difference: $10/hour * 40 hours/week = $<<10*40=400>>400/week How much more would Janet make per month as a freelaire? ** Then multiply that amount by the number of weeks in a month to find the monthly difference in her earnings: $400/week * 4 weeks/month = $<<400*4=1600>>1600/month How much more does Janet pay in FICA taxes? ** Then find the total additional amount Janet pays in FICA taxes: $25/week * 4 weeks/month = $<<25*4=100>>100/month How much more would Janet make per month as a freelancer? ** Then subtract Janet's extra FICA taxes and healthcare premium from the additional money she earns to find the net increase in her pay from freelancing: $1600/month - $400/month - $100/month = $<<1600-400-100=1100>>1100/month #### 1100 Maci is planning for the new school year and goes to the store to buy pens. She needs ten blue pens and 15 red pens. If a blue pen costs ten cents each and a red pen costs twice as much as the blue pen, how much money does Maci pay for the pens? How much does Maci pay for the blue pens? ** Maci pays 10 * $0.10 = $<<10*0.10=1>>1 for the blue pens. How much does each red pen cost? ** Each red pen costs 2*$0.10 = $<<2*0.10=0.20>>0.20 How much does Maci pay for the red pens? ** She pays 15*$0.20 = $<<15*0.20=3.00>>3.00 for the red pens. How much money does Maci pay for the pens? ** To buy all the pens she needs, Maci pays $3+$1= $<<3+1=4>>4 #### 4 Yvette wants to frame a new picture. When she goes to her local frame shop, she finds out that the frame she wanted is 20% more expensive than her budget of $60. If she paid for a smaller frame at 3/4 the new price of the frame she initially intended to buy, how much money did she remain with? How much more expensive was the frame she initially intended to buy than she had thought? ** The frame she initially intended to buy was 20/100*$60=$<<20/100*60=12>>12 more expensive than she had thought. How much was the frame being sold at? ** This means the frame was being sold at $60+$12 = $<<60+12=72>>72 How much did she pay for the smaller frame? ** If she paid for a smaller frame at 3/4 the price of the frame she initially intended to buy, she paid 3/4*$72 = $<<3/4*72=54>>54 How much money did Yvette remain with? ** Yvette remained with $60-$54 = $<<60-54=6>>6 #### 6 Marie has 4 notebooks with 20 stamps each. She also has two binders with 50 stamps each. If she decides to only keep 1/4 of the stamps, how many stamps can she give away? How many stamps does Marie have from her notebooks? ** Marie has 4 x 20 = <<4*20=80>>80 stamps from her notebooks. How many stamps does Marie have from her binders? ** And she has 2 x 50 = <<2*50=100>>100 stamps from her binders. How many stamps does Marie have in total? ** So she has a total of 80 + 100 = <<80+100=180>>180 stamps. How many stamps does Marie keep? ** Marie decided to keep 180 x 1/4 = <<180*1/4=45>>45 stamps only. How many stamps can Marie give away? ** Therefore, she can give away 180 - 45 = <<180-45=135>>135 stamps. #### 135 Jan is making candy necklaces for herself and a few friends. Everyone receives a candy necklace each and each candy necklace is made up of 10 pieces of candies. The pieces of candies come from blocks of candy, which each produce 30 pieces of candy. If Jan breaks down 3 blocks of candy and every single piece of candy from this is used in the candy necklaces, how many friends receive a candy necklace? How many pieces of candy are there? ** There are a total of 3 blocks of candy * 30 pieces of candy per candy block = <<3*30=90>>90 pieces of candy. How many candy necklaces can Jan make? ** Using this, Jan can create 90 pieces of candy / 10 pieces of candy per candy necklace = <<90/10=9>>9 candy necklaces. How many friends receive a candy necklace? ** As Jan is keeping a candy necklace too, there must have been enough candy necklaces for 9 candy necklaces – 1 candy necklace for Jan = <<9-1=8>>8 friends. #### 8 Aaron has four times as many cows as does Matthews. Together, they have 30 more cows than Marovich. If Matthews has 60 cows, how many cows do the three have altogether? How many cows does Aaron have? ** If Matthews has 60 cows, Aaron has 4*60 = 240 cows. How many cows do the two have together? ** Together, Aaron and Matthews have 240+60 = <<240+60=300>>300 cows. How many cows does Marovich have? ** Since Marovich has 30 fewer cows than the combined number of cows that Aaron and Matthews have, Marovich has 300-30 = <<300-30=270>>270 cows. How many cows do the three have altogether? ** Altogether, the three have 270+300 = <<270+300=570>>570 cows #### 570 Maddie watches 8 episodes of a TV show this week. Each episode is about 44 minutes long. If she watches 138 minutes of the show on Monday. She does not watch any TV on Tuesday and Wednesday. On Thursday, she watches 21 minutes. On Friday, she watches 2 episodes. How many more minutes did she watch over the weekend? How many minutes does Maddie watch in total? ** Maddie watches a total of 8*44=<<8*44=352>>352 minutes of the TV show during the week. How many minutes does Maddie watch on Friday? ** On Friday, she watches 2*44=<<2*44=88>>88 minutes How many minutes does Maddie watch in total? ** On Monday, Thursday, and Friday, she watches 138+21+88 = <<138+21+88=247>>247 minutes. How many minutes does Maddie watch over the weekend? ** Thus, on the weekend she watches 352-247 = <<352-247=105>>105 minutes of the TV show. #### 105 Jane is painting her fingernails. She applies a base coat that takes 2 minutes to dry, two color coats that take 3 minutes each to dry, and a clear top coat that takes 5 minutes to dry. How many minutes total does Jane spend waiting for her nail polish to dry? How long will the color coats take to dry? ** First figure out how long both color coats will take to dry: 3 minutes * 2 = <<3*2=6>>6 minutes How long will the nail polish take to dry? ** Then add up the time for the base coat, top coat, and color coats: 6 minutes + 2 minutes + 5 minutes = <<6+2+5=13>>13 minutes #### 13 Two apartment roommates split the rent, utilities, and grocery payments equally each month. The rent for the whole apartment is $1100 and utilities are $114. If one roommate pays $757 in all, how many dollars are groceries for the whole apartment? How much is the rent and utilities? ** Rent plus utilities for the whole apartment is 1100+114 = $<<1100+114=1214>>1214 How much does one roommate pay? ** If one roommate pays $757 in all, the total cost of everything is 757*2 = <<757*2=1514>>1514 How much are groceries? ** The groceries cost 1514-1214 = <<1514-1214=300>>300 #### 300