On Tuesday last week, Leo dropped off 10 pairs of trousers and some shirts at Sudsy Laundry. He was given a bill of $140, charged at $5 per shirt and $9 for each pair of trousers. When he went to pick up his clothes yesterday, the attendant insisted that he had only dropped off 2 shirts. Leo reported the matter to the manager, who ordered the attendant to search for the rest of Leo’s shirts. How many shirts were missing?

The cost of laundering all of Leo’s trousers is 10 * 9 =

<<10*9=90>>90 dollars Since the total bill was 140 dollars, this means that all the shirts were cleaned for 140 - 90 = <<140-90=50>>50 dollars. As each shirt is cleaned at 5 dollars, Sudsy Laundry therefore laundered a total of 50/5 = <<50/5=10>>10 shirts The missing shirts are therefore 10 - 2 = <<10-2=8>>8 shirts #### 8 June is running for class president. She needs just over 50% of the vote to win. There are 200 students in the school. 60% of students are boys and the rest are girls. If she receives 67.5% of male vote, what is the smallest percentage of the female she must receive to win the election? 50% of the vote is 100 votes because 200 x .5 = <<200*.5=100>>100 Just over 50% is 101 votes because 100 + 1 = 101 120 students are boys because 200 x .6 = <<200*.6=120>>120 80 students are girls because 200 - 120 = <<200-120=80>>80 She gets 81 votes from boys because 120 x .675 = <<120*.675=81>>81 She needs 20 votes from girls because 101 - 81 = <<101-81=20>>20 She needs a proportion of .25 of girl's votes to win because 20 / 80 = <<20/80=.25>>.25 The percentage she needs is 25 because 100 x .25 = <<100*.25=25>>25 #### 25 Pria bought a new car that advertised an estimated gas mileage of 35 miles per gallon. The car has a 12-gallon tank. She filled her car full of gas and was able to drive a total of 372 miles. What was the difference, in miles per gallon, between Pria's mileage and the advertised mileage? Pria's car achieved a rate of 372 miles / 12 gallons = <<372/12=31>>31 miles per gallon. Therefore, it was a difference of 35 - 31 = <<35-31=4>>4 miles per gallon. #### 4 Joe's pizzeria has an amazing promotion. If you buy any regular large pizza you can get the next 3 medium pizzas for $5 each. What are your total savings if the regular medium pizza price is $18 and you take full advantage of the promotion? If one medium pizza costs $18 and with the promotion I can buy one for $5, then I'm saving $18-$5 = $<<18-5=13>>13 on each medium pizza If I take full advantage of the promotion, that means I bought all 3 medium pizzas, therefore I saved a total of 3*$13 = $<<3*13=39>>39 in total #### 39 Amy, Jeremy, and Chris have a combined age of 132. Amy is 1/3 the age of Jeremy, and Chris is twice as old as Amy. How old is Jeremy? Let x represent the age of Jeremy Amy:(1/3)x Chris:2(1/3)x=(2/3)x Total:x+(1/3)x+(2/3)x=132 2x=132 x=66 years old #### 66 John buys 20 hours of music a month. The average length of a song is 3 minutes. He buys each song for $.50. How much does he pay for music a year? He buys 20*60=<<20*60=1200>>1200 minutes of music a month So that is 1200/3=<<1200/3=400>>400 songs That means he pays 400*.5=$<<400*.5=200>>200 a month So it comes out to 200*12=$<<200*12=2400>>2400 a year #### 2400 Rebecca drinks half a bottle of soda a day. She bought three 6-packs of sodas the last time she was at the store. How many bottles of soda will she have left after four weeks? Rebecca bought 3 * 6 = <<3*6=18>>18 bottles of soda. A week is 7 days, so she will drink 4 * 7 = <<4*7=28>>28 half bottles of soda in four weeks. A bottle is two half bottles, so she will drink 28 / 2 = <<28/2=14>>14 bottles of soda in four weeks. Thus, after 4 weeks, she will have 18 - 14 = <<18-14=4>>4 bottles of soda left. #### 4 In 2004, there were 60 kids at a cookout. In 2005, half the number of kids came to the cookout as compared to 2004. In 2006, 2/3 as many kids came to the cookout as in 2005. How many kids came to the cookout in 2006? In 2005, 60/2=<<60/2=30>>30 kids came to the cookout. In 2006, 30/3*2=<<30/3*2=20>>20 kids came to the cookout. #### 20 Every year, Tabitha adds a new color to her hair. She started this tradition when she was 15 years old, which was the year she added her second hair color. In three years, Tabitha will have 8 different colors in the hair. Currently, how old is Tabitha? Since, three years from now, Tabitha will have 8 different colors in her hair, this year she has 8 - 3 = <<8-3=5>>5 colors in her hair. Since she had 2 colors in her hair at the age of 15, she has added 5-2=3 colors since she was 15 years old. Since she ads one color per year, 3 added colors = <<3=3>>3 added years Thus, currently, she is 15+3=<<15+3=18>>18 years old. #### 18 Chastity bought 4 lollipops which cost $1.50 each, and she also bought 2 packs of gummies which cost $2 each. If she has $15, how much was she left with after spending on the candies? She spent 4 x $1.50 = $<<4*1.5=6>>6 for the lollipops. She also spent 2 x $2 = $<<2*2=4>>4 for the gummies. Therefore, Chastity was left with $15 - $10 = $<<15-10=5>>5 #### 5