Hank is raising money for the local homeless shelter. Hank makes $100 in a carwash and donates 90% of the proceeds to the local homeless shelter. Hank makes $80 in a bake sale and donates 75% of the proceeds to the local homeless shelter. Then he makes $50 mowing lawns and donates 100% of the proceeds to the local homeless shelter. How much money does Hank donate in total?

How much money does Hank donate from the carwash? ** From the carwash, Hank donates $100 * 0.90 = $

<<100*0.90=90>>90 How much money does Hank donate from the bake sale? ** From the bake sale, Hank donates $80 * 0.75 = $<<80*0.75=60>>60 How much money does Hank donate from mowing lawns? ** From mowing lawns, Hank donates $50 * 1.00 = $<<50*1=50>>50 How much money does Hank donate in total? ** Hank donates a total of $90 + $60 + $50 = $<<90+60+50=200>>200 #### 200 A local farm is famous for having lots of double yolks in their eggs. One carton of 12 eggs had five eggs with double yolks. How many yolks were in the whole carton? How many eggs had one yolk? ** The carton had 12 - 5 = <<12-5=7>>7 eggs with one yolk. How many yolks were in the whole carton? ** It had 5 eggs with double yolks, which added * 2 = <<5*2=10>>10 yolks. How many yolks were in the whole carton? ** Thus, there were 7 + 10 = <<7+10=17>>17 yolks in the whole carton. #### 17 Chloe and Max played Mario Kart together. The ratio of Chloe’s wins to Max’s wins is 8:3. Chloe won 24 times. How many times did Max win? Define a variable ** We are trying to figure out how many times Max won at Mario Kart, so we'll call that number Y. How many wins did Chloe have? ** We know the ratio of Chloe’s wins to Max’s wins is 8/3, so 8/3 = 24/Y. How many wins did Chloe have? ** Next, we will multiply to find the cross-products. 8 x Y = 3 x 24 or 8Y = 72. How many wins did Chloe have? ** We want to get figure out Y, so we need to get it by itself by dividing by 8, like this: 8Y / 8 = 72 / 8. How many times did Max win? ** Y = <<9=9>>9, so Max won 9 times. #### 9 Kenneth spent 10% of this earnings this week on a new joystick. If he is left with $405, how much were his earnings? How much is Kenneth left with? ** Since Kenneth spent 10%, then he is left with 100% - 10% = 90% of his earnings. How much was his earnings? ** Since 90% of his earnings is worth $405, then 1% of his earnings is $405/90 = $<<405/90=4.50>>4.50. How much were his earnings? ** Hence, Kenneth's earnings is $4.50 x 100 = $<<450=450>>450. #### 450 Eric has a chicken farm with 4 chickens. His chickens lay 3 eggs each day. If Eric collects all the eggs after 3 days, then how many eggs will Eric have collected? How many eggs does each chicken lay? ** Each chicken lays 3 eggs per day and there are 4 chickens 3 * 4 = <<3*4=12>>12 How many eggs will Eric collect after 3 days? ** He will collect all the eggs after 3 days 12 * 3 = <<12*3=36>>36 #### 36 Derrick measures the length of his yard. The length of Alex's yard is half the size of Derrick's and the length of Brianne's yard is 6 times the size of Alex's. If Brianne's yard is 30 yards long, how long is Derrick's yard, in yards? How long is Alex's yard? ** The length of Alex's yard is 30/6=<<30/6=5>>5 yards. How long is Derrick's yard? ** The length of Derrick's yard is 5*2=<<5*2=10>>10 yards. #### 10 Bill composes 20 total math questions for money. Ryan composes twice as many problems as Bill, and Frank composes 3 times as many as Ryan. Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, how many problems of each type does Frank compose? How many problems does Ryan compose? ** Since Ryan composes twice as many problems as Bill's total of 20, this means Ryan composes 20*2=<<20*2=40>>40 problems How many problems does Frank compose? ** Frank composes 3 times as many as Ryan does, so this means Frank composes 40*3=<<40*3=120>>120 problems. How many problems of each type does Frank compose? ** Since Frank needs to submit 4 types of problems in equal proportion out of his total, this means he needs to make 120/4= <<120/4=30>>30 problems of each type. #### 30 Yvonne swims 10 laps in 5 minutes. Her younger sister can swim half as many laps as Yvonne in the same time frame. Their brother Joel can swim three times the number of laps as the youngest sister. How many laps can Joel swim? How many laps does Yvonne's younger sister swim? ** Yvonne swims 10 laps in 5 minutes and her younger sister swims half as many laps in 5 minutes so she swims 10/2 = <<10/2=5>>5 laps in 5 minutes How many laps can Joel swim? ** Joel can swim 3 times the amount of his youngest sister’s 5 laps so he can swim 3*5 = <<3*5=15>>15 laps in 5 minutes #### 15 The journey from Abel's house to Alice's house is 35 miles and is divided into 5 equal portions. Abel is driving at a speed of 40 miles per hour. After traveling for 0.7 hours, how many portions of the journey has he covered? How many miles are in each portion? ** 35 miles into 5 equal portions will be 35/5 = <<35/5=7>>7 miles each How many miles did Abel travel? ** Abel traveled at a speed of 40 miles per hour for 0.7 hours so he will cover 40*0.7 = <<40*0.7=28>>28 miles How many portions did Abel travel? ** 7 miles make a portion so 28 miles is equivalent to 28/7 = <<28/7=4>>4 portions #### 4 Brad wanted to set up a lemonade stand to earn some money. Every gallon of lemonade would yield 16 glasses. He figured it would cost him $3.50 to make every gallon of lemonade. He made 2 gallons to sell and decided he would sell each glass for $1.00 He drank 5 glasses while sitting in his stand. He sold all but 6 glasses of lemonade. How much net profit did Brad earn? How many glasses are in 2 gallons? ** He made 2 gallons and each gallon had 16 glasses so 2*16 = <<2*16=32>>32 glasses How many glasses did Brad drink? ** He drank 5 glasses and had 6 left over which means he would not earn money on 5+6 = <<5+6=11>>11 glasses How many glasses would Brad sell? ** The total revenue would come from 32-11 = <<32-11=21>>21 glasses How much did each gallon cost? ** Each gallon cost $3.50 to make so the total cost was 2*3.50 = $<<2*3.50=7.00>>7.00 How much did Brad sell? ** He sold 21 glasses at $1.00 per glass for a total of 1*21 = $<<21*1=21.00>>21.00 How much net profit did Brad earn? ** When you take his earnings of $21.00 and subtract the cost of $7.00 his total net profit was 21-7 = $<<21-7=14.00>>14.00 #### 14