Guise went to a restaurant and ate ten hot dogs on a Monday. That week, he ate two more dogs each day than the previous day. How many hot dogs had Guise eaten by Wednesday that week?
How many hot dogs did Guise eat on Tuesday? ** Since Guise was eating 2 more hot dogs each day than the previous day and ate 10 hot dogs on Monday, he ate 10+2 =
<<10+2=12>>12 hot dogs on Tuesday. How many hot dogs had Guise eaten by Wednesday? ** By Tuesday Guise had eaten 12+10 = <<12+10=22>>22 hot dogs. How many hot dogs did Guise eat on Wednesday? ** On Wednesday, after eating two more hot dogs than the previous day, the total number of hot dogs he ate is 12+2 = <<12+2=14>>14 How many hot dogs did Guise eat in the three days? ** In the three days, Guise ate 14+22 = <<14+22=36>>36 hotdogs. #### 36 Cat Cafe Meow has 3 times as many cats as Cat Cafe Paw. Cat Cafe Paw has 2 times as many cats as Cat Cafe Cool. If Cat Cafe Cool has 5 cats, how many cats are there in Cat Cafe Meow and Cat Cafe Paw? How many cats are in Cat Cafe Paw? ** Cat Cafe Paw has 2*5=<<2*5=10>>10 cats in total. How many cats are in Cat Cafe Meow? ** Cat Cafe Meow has 3*10=<<3*10=30>>30 cats in total. How many cats are in Cat Cafe Meow and Cat Cafe Paw? ** Cat Cafe Meow and Cat Cafe Paw have a total of 30+10=<<30+10=40>>40 cats. #### 40 Stacy has 32 berries. Steve takes 4 of Stacy's berries, and still has 7 less berries than Stacy started with. How many berries did Steve start with? Define a variable ** Let x be the number of berries Steve started with Set up an equation ** x+4=32-7 Combine like terms ** x+4=25 Subtract 4 ** x=<<21=21>>21 berries #### 21 A family bought 1 box of pizza that is cut into 16 slices. Only three-fourths of the pizza was eaten by the family. How many slices of pizza were left? How many slices were eaten? ** The family ate 16 x 3/4 = <<16*3/4=12>>12 slices. How many slices were left? ** So, there were 16 - 12 = <<16-12=4>>4 slices of pizza left. #### 4 Ms. Estrella is an entrepreneur with a startup company having 10 employees. The company makes a revenue of $400000 a month, paying 10% in taxes, 5% of the remaining amount on marketing and ads, 20% of the remaining amount on operational costs, and 15% of the remaining amount on employee wages. Assuming each employee receives the same wage, calculate the amount of money each employee is paid monthly. How much does the company pay in taxes? ** The company pays a total of 10/100*$400000 = $<<10/100*400000=40000>>40000 on taxes How much is the company's revenue after taxes? ** After taxes, the company revenue is $400000-$40000 = $<<400000-40000=360000>>360,000 How much does the company spend on marketing and ads? ** The costs of marketing and ads campaign are 5/100*$360000 = $<<5/100*360000=18000>>18000 How much does the company have left after deducting the costs of marketing and ads? ** After deducting the costs of marketing and adds campaign, the company remains with = $342,000 in revenue How much does the company spend on operational costs? ** Operational costs for the company are 20/100*$342000 = $<<20/100*342000=68400>>68400 How much does the company have left after deducting the costs of operational costs? ** After taking out the operational costs, the company remains with $342000-$68400 = $273600 How much does the company pay in employee wages? ** The company also pays employee wages of 15/100*$273600 =$<<15/100*273600=41040>>41040 How much does each employee get paid? ** If the total number of employees is 10, each employee is paid a salary of $41040/10 = $4104 per month #### 4104 The largest frog can grow to weigh 10 times as much as the smallest frog. The largest frog weighs 120 pounds. How much more does the largest frog weigh than the smallest frog? How much does the smallest frog weigh? ** To find the weight of the smallest frog, 120 pounds / 10 = <<120/10=12>>12 pounds for the smallest frog. How much more does the largest frog weigh than the smallest frog? ** The difference is 120 - 12 = <<120-12=108>>108 pounds. #### 108 Emily spent X dollars on Friday, twice that amount on Saturday, and then three times X on Sunday. Over the three days, she spent $120. What is the value of X, in dollars? How much did Emily spend on Friday? ** She spent X dollars on Friday. How much did Emily spend on Saturday? ** She spent 2X dollars on Saturday. How much did Emily spend on Sunday? ** She spent 3X dollars on Sunday. Write an equation? ** X+2X+3X=120 Simplify ** 6X=120 Divide by 6 ** X=<<20=20>>20 #### 20 Kathleen receives a weekly allowance for completing all of her chores. During middle school, her allowance was $2 more than $8 but during her senior year, her allowance was $5 more than twice her middle school allowance. What is the percentage increase in Kathleen's weekly allowance? How much was Kathleen's allowance in middle school? ** Kathleen's allowance in middle school was $8 + $2 = $<<8+2=10>>10. How much was Kathleen's allowance in middle school? ** Twice her middle school allowance is $10 x 2 = $<<10*2=20>>20. How much was Kathleen's allowance in senior year? ** So, Kathleen's senior year allowance is $20 + $5 = $<<20+5=25>>25. What is the percentage increase in Kathleen's weekly allowance? ** Her allowance increased by $25 - $10 = $<<25-10=15>>15. What is the percentage increase in Kathleen's weekly allowance? ** Kathleen's percent increase in her weekly allowance is $15/$10 x 100% = <<15/10*100=150>>150%. #### 150 Tony puts $1,000 in a savings account for 1 year. It earns 20% interest. He then takes out half the money to buy a new TV. The next year, the remaining money earns 15% interest. How much is now in the account? How much does the account earn after one year? ** After one year he earns $200 in interest because 1,000 x .2 = <<1000*.2=200>>200 How much does the account have after one year? ** After one year it has $1,200 in the account because 1,000 + 200 = <<1000+200=1200>>1,200 How much does he take out? ** He takes out $600 because 1,200 / 2 = <<1200/2=600>>600 How much does it have after this? ** After this it has $600 in it because 1,200 - 600 = <<1200-600=600>>600 How much does the account earn after the second year? ** She earns $90 in interest because 600 x .15 = <<600*.15=90>>90 How much is now in the account? ** The account now has $690 because 600 + 90 = <<600+90=690>>690 #### 690 Madison makes 30 paper boats and sets them afloat. 20% are eaten by fish and Madison shoots two of the others with flaming arrows. How many boats are left? How many boats are eaten by fish? ** First find the number of boats eaten by fish: 30 boats * 20% = <<30*20*.01=6>>6 boats How many boats are left? ** Then subtract the two groups of boats that were destroyed from the original number to find the number left: 30 boats - 6 boats - 2 boats = <<30-6-2=22>>22 boats #### 22