On Tuesday, Liza had $800 in her checking account. On Wednesday, she paid her rent, $450. On Thursday, she deposited her $1500 paycheck. On Friday, she paid her electricity and internet bills which were $117 and $100, respectively. Then on Saturday, she paid her phone bill, $70. How much money is left in Liza's account?

How much money did Liza have after paying her rent? ** On Wednesday, Liza had $800 - $450 = $

<<800-450=350>>350 left in her account. How much money did Liza have after depositing her paycheck? ** After depositing on Thursday, she had $350 + $1500 = $<<350+1500=1850>>1850 in her account. How much did Liza pay for her electricity and internet bills? ** On Friday, she paid a total of $117 + $100 = $<<117+100=217>>217 for her electricity and internet bills. How much money was left in Liza's account on Friday? ** So, $1850 - $217 = $<<1850-217=1633>>1633 was left on her account on Friday. How much money is left in Liza's account? ** After paying her phone bill, Liza has $1633 - $70 = $<<1633-70=1563>>1563 left in her account. #### 1563 The toothpaste in Anne's family's bathroom contains 105 grams. Anne's dad uses 3 grams at each brushing, her mom uses 2 grams, Anne and her brother use 1 gram each. Each member of the family brushes their teeth three times a day. How many days will it take for the toothpaste to run out? How many grams does Anne and her brother use? ** Anne and her brother use 1 gram + 1 gram = <<1+1=2>>2 grams. How many grams does Anne's dad, mom and brother use together? ** Anne's dad uses 3 grams and Anne's mom uses 2 grams so together they use 2 grams + 3 grams + 2 grams = <<3+2+2=7>>7 grams/wash How many grams does the family use each day? ** Each day, the family uses 7 grams/wash * 3 washes/day = <<7*3=21>>21 grams. How many days will the toothpaste last? ** Using that amount daily, the toothpaste will last 105 grams / 21 grams/day = <<105/21=5>>5 days. #### 5 The Kwik-e-Tax Center charges $50 for a federal return, $30 for a state return, and $80 for quarterly business taxes. If they sell 60 federal returns, 20 state returns, and 10 quarterly returns in one day, what was their total revenue for the day? How much did the Kwik-e-Tax Center make from federal returns? ** First find the total income from the federal returns: $50/return * 60 returns = $<<50*60=3000>>3000 How much did the Kwik-e-Tax Center make from state returns? ** Then find the total income from the state returns: $30/return * 20 returns = $<<30*20=600>>600 How much did the Kwik-e-Tax Center make from quarterly returns? ** Then find the total income from the quarterly returns: $80/return * 10 returns = $<<80*10=800>>800 How much did the Kwik-e-Tax Center make in total? ** Then add the income from each source to find their total income: $3000 + $600 + $800 = $<<3000+600+800=4400>>4400 #### 4400 Danielle bought a new house for $280k. She paid a $40k deposit on the house, and pays the rest using a mortgage that is spread out over 10 years. Danielle makes equal payments every month and at the end of the 10 years, the entire balance will be paid off. How much, in thousands of dollars, does Danielle pay each month? How much does Danielle still have to pay? ** After paying the deposit, Danielle still has to pay a total of $280k purchase price - $40k deposit = $<<280-40=240>>240k via her mortgage. How much does Danielle need to pay each year? ** As the mortgage is over 10 years, Danielle’s payments need to total $240k mortgage balance / 10 years = $<<240/10=24>>24k per year. How much does Danielle need to pay each month? ** So each month, Danielle has to pay $24k per year / 12 months in a year = $2k per month. #### 2 Dorothy is 15 years old and wants to go to a museum with her family. Her family consists of her, her younger brother, her parents, and her grandfather. The regular ticket cost is $10. People 18 years old or younger have a discount of 30%. How much money will Dorothy have after this trip, when she currently has $70? How much is the discount per ticket? ** The discount per one ticket is 10 * 30/100 = $<<10*30/100=3>>3. How much are Dorothy and her brother's tickets? ** So Dorothy's and her brother's tickets are cheaper by 2 * 3 = $<<2*3=6>>6. How much is the ticket cost? ** Her family consists of 5 people, so the ticket cost stands at 5 * 10 = $<<5*10=50>>50. How much will the tickets cost after the discount? ** Including the discount will lower the price to 50 - 6 = $<<50-6=44>>44 in total. How much money will Dorothy have after this trip? ** Dorothy will be left with 70 - 44 = $<<70-44=26>>26. #### 26 Ruiz receives a monthly salary of $500. If he received a 6% raise, how much will be Ruiz's new salary? How much is Ruiz's salary raise? ** Ruiz has $500 x 6/100 = $<<500*6/100=30>>30 salary raise. What is Ruiz's new salary? ** Thus, his new salary is $500 + $30 = $<<500+30=530>>530. #### 530 John buys 2 packs of gum and 3 candy bars. Each stick of gum cost half as much as the candy bar. If the candy bar cost $1.5 each, how much did he pay in total? How much did the gum cost? ** The gum cost $1.5/2=$<<1.5/2=.75>>.75 per pack How much did John pay for the gum? ** So he pays $.75*2=$<<.75*2=1.5>>1.5 for the gum How much did John pay for the candy bars? ** He pays $1.5*3=$<<1.5*3=4.5>>4.5 for the candy bars How much did John pay in total? ** So in total, he pays $1.5 + $4.5 = $<<1.5+4.5=6>>6 #### 6 At Esme's school, there are 30 teachers and 45 staff members. On a Monday morning, The Best Pizza Inn brought pizza for the staff and teachers as a promotion offer. If 2/3 of the teachers and 4/5 of the staff members ate Pizza, how many non-pizza eaters are at Esme's school? How many teachers ate pizza? ** The total number of teachers who ate pizza is 2/3*30 = <<2/3*30=20>>20 How many teachers did not eat pizza? ** 30-20 = <<30-20=10>>10 teachers did not eat pizza. How many staff members ate pizza? ** The number of staff members who ate pizza is 4/5*45 = <<4/5*45=36>>36 How many staff members did not eat pizza? ** The number of staff members who did not eat pizza is 45-36 = <<45-36=9>>9 How many non-pizza eaters are at Esme's school? ** The number of non-pizza eaters is 9+10 = <<9+10=19>>19 #### 19 Ginger is weaving mats out of colored straw. Each mat takes 20 red straws, 30 orange straws, and half as many green straws as orange straws. How many straws does she need to make 10 mats? How many green straws does each mat need? ** First find the number of green straws each mat needs: 30 orange straws / 2 orange straws/green straw = 15 green straws How many straws are in each mat? ** Then find the total number of straws in each mat: 15 straws + 20 straws + 30 straws = <<15+20+30=65>>65 straws How many straws does Ginger need to make 10 mats? ** Then multiply that number by the number of mats to find the total number of straws Ginger needs: 65 straws/mat * 10 mats = <<65*10=650>>650 straws #### 650 Kaylin is five years younger than Sarah, who is twice as old as Eli, who is nine years older than Freyja. If Freyja is ten years old, how old is Kaylin? How old is Eli? ** Since Freyja is ten years old, Eli is 10+9 = <<10+9=19>>19 years old. How old is Sarah? ** Sarah's age is twice Eli's, then Sarah is 2*19= <<2*19=38>>38 years old. How old is Kaylin? ** Kaylin is five years younger than Sarah, then she is 38-5 = <<38-5=33>>33 years old. #### 33