Ratio Problems Practice

  1. Jaylen’s group collected cans. The total number of aluminum and steel cans was 156. There were 3 times as many steel cans as aluminum cans. How many aluminum cans and steel cans were there?
  1. Juansteen and Mailan ran laps to train for the long-distance running team. The ratio of the number of laps Juansteen ran to the number of laps Mailan ran was 2 to 3.

a)If Juansteen ran 4 miles, how far did Mailan run?

b)If Mailan ran 930 meters, how far did Juansteen run?

  1. The number of boys is ⅗of the number of girls. If there are 120 children altogether, how many boys are there?
  1. Eli took a long multiple-choice, end of the year vocabulary test. The ratio of the number of problems Eli got incorrect to the number of problems he got correct is 2:9.

a)If Eli missed 8 questions, how many did he get right?

b)If Eli missed 20 questions, how many did he get right?

  1. The teacher parking lot has 2 motorcycles for every 5 cars. If there are a total of 63 vehicles, how many of the vehicles are motorcycles and how many of the vehicles are cars?
  1. At Pizza Hut, 5 large stuffed crust pizzas cost $60. How much will 9 large stuffed crust pizzas cost?
  1. If Toys R Us can sell 50 Transformers per minute, how many Transformers can Toys R Us sell in 2 hours?
  1. In 40 minutes, Sidney counted 6 silver cars drive past her house. At that rate, how many silver cars would Sidney expect to pass her house in one hour?
  1. Mr. Jeff divided his money in the ratio 4:2 between Marcus and Jake. Jake received $156. How much money did Mr. Jeff have before he divided it between the two boys?

Challenge 1

The American Association of Doctors recommends drinking 5 cups of water per day. According to the American Association of Doctors, how many pints of water should we drink in a week?

Information: 1 quart = 2 pints; 1 gallon = 4 quarts; 1 pint = 2 cups

Challenge 2

Jackie earns $60 in 5 hours. Angelina earns $90 in 9 hours. In 3 hours, who earns more? How much more?

Challenge 3

The ratio of the height to the width of a rectangle is 7:4. If the perimeter of the rectangle is 33 inches, find the height and the width.

Challenge 4

Conner’s group collected bottles. There was a total of 77 bottles. The number of plastic bottles was 8 more than twice the number of glass bottles. How many bottles of each type were there?

Challenge 5

For every 9 cakes that Taylor sold, June sold 1. June sold 32 fewer cakes than Taylor. How many cakes did June sell?

Challenge 6

During the holiday sale, Great Buy sold sweaters and sweatshirts in the ratio of 1:4. The store sold 15 more sweatshirts than sweaters. How many sweatshirts were sold?

1. 39 aluminum cans and 117 steel cans / 2.
a. 6 miles
b. 620 meters
/ 3. 45 boys
4.
a. 36 questions correct
b. 90 questions correct
/ 5. 18 motorcycles and 45 cars
/ 6. $108 for 9 pizzas
7. 6,000 Transformers in 2 hours
/ 8. 9 silver cars in 1 hour / 9. $468 to start

Challenge Problem Answers:
C1. 17.5 pints per week
C2. $6 more for Jackie
C3. The height is 10.5 in and the width is 6 in
C4. 23 glass bottles and 54 plastic bottles
C5. June sold 4 cakes
C6. 20 sweatshirts