Sheila, Purity, and Rose want to rent a house. Sheila has offered to pay five times Purity’s share of the rent. Rose can only afford thrice what Purity pays. If Rose’s share is $1,800, what is the total house rent?
How much will Purity pay? ** Purity will pay a third of Rose's share, which translates to 1800/3 =
<<1800/3=600>>600 dollars. How much will Sheila pay? ** Sheila has offered to pay 5 * 600 = <<5*600=3000>>3000 dollars What is the total house rent? ** Combining everyone’s share of the rent will give a total of 600 + 3000 + 1800 = <<600+3000+1800=5400>>5400 dollars #### 5400 James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies? How many blueberries are needed for one pie? ** First find the total number of blueberries needed for one pie: 200 blueberries/pint * 2 pints/pie = 400 blueberries/pie How many blueberries does James need to pick to make 6 pies? ** Then multiply that number by the number of pie to find the total number of blueberries James need: 400 blueberries/pie * 6 pies = <<400*6=2400>>2400 blueberries #### 2400 In a national park, the number of redwoods is 20% more than the number of pines. If there are 600 pines in the national park, calculate the total number of pines and redwoods that are there. How many more redwoods are there than pines? ** If there are 600 pines, there are 20/100*600 = <<600*20/100=120>>120 more redwoods than pine trees in the national park. How many redwoods are there? ** In total, there are 120+600 = <<120+600=720>>720 redwoods in the national park. How many pines and redwoods are there? ** Altogether, there are 720+600 = <<720+600=1320>>1320 pines and redwoods in the national park. #### 1320 There are 14 green papayas on the papaya tree. On Friday, two of the fruits turned yellow. On Sunday, twice as many fruits as on Friday turn yellow. How many green papayas are left on the tree? How many papayas turned yellow on Sunday? ** On Sunday 2 x 2 = <<2*2=4>>4 papayas turned yellow. How many papayas turned yellow in total? ** A total of 2 + 4 = <<2+4=6>>6 papayas turned yellow. How many green papayas are left on the tree? ** There are 14 - 6 = <<14-6=8>>8 green papayas still left on the tree. #### 8 Tim and Donna will celebrate their 20th wedding anniversary in 2025. They started dating 3 years before they got married and met 2 years before that. When did they meet? How old were they when they got married? ** They'll celebrate their 20th wedding anniversary in 2025 which means they got married in 2025-20 = <<2025-20=2005>>2005 When did they start dating? ** They started dating 3 years before they got married in 2005 which means they started dating in 2005-3 = 2002 When did they meet? ** And they met 2 years before they started dating which means they met in 2002-2 = 2000 #### 2000 A tomato plant has 100 tomatoes. Jane picks 1/4 of that number for use in their house. After a week, she goes back and picks 20 more tomatoes, and the following week picks twice that number. What's the total number of fruits remaining on the tomato plant? How many tomatoes does Jane pick? ** When she picks 1/4 of the number of tomatoes, she goes home with 1/4*100 = <<1/4*100=25>>25 tomatoes. How many tomatoes are left? ** The total number of tomatoes remaining will be 100-25 = <<100-25=75>>75 tomatoes. How many tomatoes does Jane pick the following week? ** After picking 20 more tomatoes the following week, the number of tomatoes remaining is 75-20 = <<75-20=55>>55 tomatoes. How many tomatoes does Jane pick the following week? ** The next week she picks twice the number she picked the previous week, that is 20*2 = <<20*2=40>>40 tomatoes. How many tomatoes are left after the final picking? ** The total number of tomatoes remaining after the final picking is 55-40 = <<55-40=15>>15 tomatoes. #### 15 Jordan read 120 French novels last holiday. His brother Alexandre read 1/10 of what Jordan read. How many more novels did Jordan read than Alexandre? How many novels did Alexandre read? ** Alexandre read 120 * 1/10 = <<120*1/10=12>>12 novels. How many more novels did Jordan read than Alexandre? ** So, Jordan read 120 - 12 = <<120-12=108>>108 novels more than Alexandre. #### 108 Brendan has entered a kickboxing competition and wins matches against multiple contestants. He wins all of the matches in the first 2 rounds, each of which had 6 matches, then wins half of the 4 matches in the last round. How many matches did Brendan win throughout the competition? How many matches did Brendan win in the first 2 rounds? ** In the first 2 rounds, Brendan wins a total of 2 rounds * 6 matches per round = <<2*6=12>>12 matches. How many matches did Brendan win in the last round? ** In the last round, Brendan wins half of the matches which is 4 matches / 2 = <<4/2=2>>2 matches. How many matches did Brendan win throughout the competition? ** Throughout the competition, Brendan has therefore won 12 + 2 = <<12+2=14>>14 matches. #### 14 Jamie collects glass balls. He had 16 red balls and two times more blue balls. Later on, he lost 6 of the red balls, so he decided to buy some yellow balls to fill up his collection. How many yellow balls did he buy if, after all, he had 74 balls in total? How many blue balls did Jamie have? ** Jamie had two times more blue balls than red ones, so he had 2 blue/red * 16 red balls = <<2*16=32>>32 blue balls. How many red balls did Jamie have after losing 6? ** He lost 6 red balls so he had only 16 red balls - 6 red balls = <<16-6=10>>10 red balls How many balls did Jamie have in total? ** In total he had 32 blue balls + 10 red balls = <<32+10=42>>42 red and blue balls. How many yellow balls did Jamie buy? ** He bought 74 balls - 42 red and blue balls = <<74-42=32>>32 yellow balls. #### 32 Calvin buys a pack of chips, for $0.50, from the vending machine at lunch, 5 days a week. After 4 weeks, how much money has Calvin spent on chips? How much do the chips cost? ** The chips cost $0.50 a bag and he buys them 5 days a week so that's .50*5 = $<<0.50*5=2.50>>2.50 a week How much money does Calvin spend on chips? ** If he spends $2.50 on chips a week then over 4 weeks he will spend 2.50*4 = $<<2.50*4=10.00>>10.00 on chips #### 10