Bonny just bought her 13th pair of shoes, which is 5 less than twice as many pairs of shoes as Becky owns. Bobby has 3 times as many pairs of shoes as Becky has. How many shoes does Bobby have?

Define a variable ** Let x be the number of pairs of shoes that Becky owns.

Write an equation ** Since 13 pairs is 5 less than twice as many pairs as Becky owns, then the relationship is 2x-5=13.

Add 5 to each side ** Adding 5 to each side of the equation, we get 2x=18.

Divide by 2 ** Solving for x, we get x=

<<9=9>>9. How many pairs of shoes does Becky have? ** Since Bobby has 3 times as many pairs of shoes as Becky has, then Becky has 3*9=<<3*9=27>>27 pairs of shoes. #### 27 My new house has 12 medium ceiling lights but I have seen small and large ceiling lights in other rooms. The small ones require 1 bulb, the medium ones require 2, and the large ones need 3 bulbs. How many bulbs should I buy if my wife says she saw twice as many large ceiling lights as medium ceiling lights and ten more small lights than medium ones? How many large ceiling lights are there? ** If the house has twice the number of large ones as medium ones then the house has 2*12 = <<2*12=24>>24 large ceiling lights How many small ceiling lights are there? ** Similarly, if it has 10 more small ones than the 12 medium ones then it has 10+12 = <<10+12=22>>22 small ceiling lights How many bulbs will the small ceiling lights require? ** If one small ceiling light requires 1 bulb then 22 small ones will require 1*22 = <<1*22=22>>22 bulbs How many bulbs will the medium ceiling lights require? ** If one medium ceiling light requires 2 bulbs then 12 medium ones will require 2*12 = <<2*12=24>>24 bulbs How many bulbs will the large ceiling lights require? ** If one large ceiling light requires 3 bulbs then 24 medium ones will require 3*24 = <<3*24=72>>72 bulbs How many bulbs will the house require? ** Therefore the house will require 22 bulbs for the small ones + 24 bulbs for the medium ones + 72 bulbs for the large ones, for a total of 22+24+72=<<22+24+72=118>>118 #### 118 A plumber bought 10 meters of copper and 5 more meters of plastic pipe. If each meter cost $4, how much did the plumber spent on the copper and plastic pipe? How many meters of plastic pipe did the plumber buy? ** He bought 10 + 5 = <<10+5=15>>15 meters of plastic pipe. How many meters of copper and plastic pipe did the plumber buy? ** The total meters of the copper and plastic pipe is 10 + 15 = <<10+15=25>>25. How much did the plumber spend on the copper and plastic pipe? ** The plumber spent $4 x 25 = $<<4*25=100>>100 on copper and plastic pipe. #### 100 William is a jockey. He can ride his horse for 6 hours a day. Over 6 days, he only used the maximum riding time twice. On two days he rode his horse for only 1.5 hours a day and half the maximum time for the next two days. How many hours did William ride his horse during those 6 days? How many hours did William use to the limit? ** William used two days to the limit, which means 6 * 2 = <<6*2=12>>12 hours of horse riding. How many hours did William ride a horse for those two days? ** For two days he rode a horse 1.5 a day, which makes up to 1.5 * 2 = <<1.5*2=3>>3 hours. How many hours did William use for those two days? ** For the next two days, he used only half of the maximum time which means 6 * 0.5 = <<6*0.5=3>>3 hours a day. How many hours did William ride a horse for those two days? ** That means 2 * 3 = <<2*3=6>>6 hours during these two days. How many hours did William ride his horse during those 6 days? ** So in total William rode his horse for 12 + 3 + 6 = <<12+3+6=21>>21 hours. #### 21 Sasha can complete 15 questions an hour. If she has 60 questions to complete and she works for 2 hours, how many questions does she still need to complete? How many questions does Sasha complete in 2 hours? ** Sasha completes 15 questions/hour * 2 hours = <<15*2=30>>30 questions. How many questions does Sasha still need to complete? ** This means there are still 60 questions – 30 questions = <<60-30=30>>30 questions left to complete. #### 30 James invests $2000 a week into his bank account. He had $250,000 in his account when the year started. At the end of the year, he gets a windfall that is worth 50% more than what he has in his bank account. How much money does he have? How much money did James deposit? ** He deposited 2000*52=$<<2000*52=104000>>104,000 into his account How much money does James have? ** So he has 250000+104000=$<<250000+104000=354000>>354,000 How much money does James get? ** His windfall is worth .5*354,000=$<<.5*354000=177000>>177,000 more than his current account How much money does James have? ** That means he got 177,000+354,000=$<<177000+354000=531000>>531,000 How much money does James have? ** So he had a total of 531,000+354,000=$<<531000+354000=885000>>885,000 #### 885,000 There are 1250 pairs of shoes in the warehouse. There are 540 pairs that are blue. The rest are either green or purple. The number of green shoes is equal to the number of purple shoes. How many pairs of purple shoes are in the warehouse? How many pairs of shoes are either green or purple? ** 1250 - 540 = <<1250-540=710>>710 How many pairs of purple shoes are there? ** 710/2 = <<710/2=355>>355 How many pairs of purple shoes are in the warehouse? ** There are 355 pairs of purple shoes in the warehouse. #### 355 Jame gets a raise to $20 per hour and works 40 hours a week. His old job was $16 an hour for 25 hours per week. How much more money does he make per year in his new job than the old job if he works 52 weeks a year? How much does Jame make per week? ** He makes 20*40=$<<20*40=800>>800 per week How much did Jame make per week? ** He used to make 16*25=$<<16*25=400>>400 per week How much did Jame's raise amount to? ** So his raise was 800-400=$<<800-400=400>>400 per week How much more money does Jame make per year in his new job than the old job if he works 52 weeks a year? ** So he makes 400*52=$<<400*52=20800>>20,800 per year more #### 20800 Mimi has decided to start going to the gym again. Over the weekend, she spent $8,000 on athletic sneakers and clothes. She spent thrice as much on Nike sneakers as she did on Adidas. What she spent on Adidas was 1/5 the cost of Skechers. If Mimi's Adidas sneakers purchase was $600, what amount did she spend on clothes? How much did Mimi spend on Skechers? ** The Adidas purchase was 1/5 that of Skechers, therefore the Skechers cost 5 * 600 = 3000 dollars. How much did Mimi spend on Nike sneakers? ** Spending three times the cost of Adidas on Nike sneakers translates to 3 * 600 = <<3*600=1800>>1800 dollars. How much did Mimi spend on sneakers? ** All together, the three athletic-sneaker purchases cost Mimi 600 + 1800 + 3000 = <<600+1800+3000=5400>>5400 dollars. What amount did Mimi spend on clothes? ** Subtracting the amount spent on athletic sneakers from the total spent gives 8000 - 5400 = <<8000-5400=2600>>2600 dollars. What amount did Mimi spend on clothes? ** Mimi therefore spent 2600 dollars on clothes. #### 2600 The central Texas countryside contains many toads that come out at night. For every green toad, there are 25 brown toads, and one-quarter of the brown toads are spotted. If there are 50 spotted brown toads per acre, how many green toads are there per acre? How many brown toads are there per acre? ** If there are 50 spotted brown toads per acre, and this represents one-quarter of the brown toads, then there are 50*4=<<50*4=200>>200 brown toads per acre. How many green toads are there per acre? ** If for every 25 brown toads there is one green toad, then there are 200/25=<<200/25=8>>8 green toads per acre. #### 8