Finding Ratios
Equivalent Ratios
Real World Problems
Random
Random Ratios
100
Mr. Larson had 15 pounds of green brans to sell at his vegetable stand. He sold 7 pounds. What is the ratio of pounds sold to pounds not sold?
7 : 8
100
Are these ratios equivalent? Explain
10 medium bags : 16 small bags
5 medium bags : 8 small bags
Yes, when simplified, they are both 5 : 8
100
There are 600 pupils in a school. The ratio of boys to girls in this school is 3:5. How many girls and how many boys are in this school?
Girls: 375
Boys: 225
100
What is the greatest 4-digit number that has all of the following characteristics ?
- It is an odd number
- The sum of the digits is 6
- Each digit is different
3201
100
The ratio of Jenny’s trophies to Meredith’s trophies is 7:4. The difference between the numbers is 12. What are the numbers?
28 and 16
200
James has $88. He gives $35 to charity A and the rest to Charity B. Find the ratio of the amount of money he gives to Charity A to the money he gives to Charity B.
35 : 53
200
Write the ratio 12 : 15 in simplest form.
4 : 5
200
The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle.
4,000
200
There are 15 tables in Camille's Cafe. Some of those tables can seat 6 people, and the rest of them can only seat 4 people. If a maximum of 76 people can be seated at Camille's Cafe, how many 6-people tables does the cafe have?
8
200
The school’s junior band has 10 saxophone players and 20 trumpet players. The school’s senior band has 18 saxophone players and 29 trumpet players. Which band has the higher ratio of trumpet to saxophone players?
Senior Band
300
In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there?
90
300
Find the missing space:
12 : 16 : 18
18 : _____ : 27
24
300
The angles of a triangle are in the ratio 1:3:8. Find the measures of the three angles of this triangle.
1 : 15
3 : 45
8 : 120
300
In the following addition example, each letter represents one digit. If the same letters represent the same digits and different letters represent different digits, what digit does A represent?
4
300
The measures of the two acute angles of a right triangle are in the ratio 2:7. What are the measures of the two angles?
20 and 70
400
John has 30 marbles, 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?
John has 4 more blue marbles than Jane.
400
David makes 5 cups of punch by mixing 3 cups of cranberry juice with 2 cups of apple juice. How much cranberry juice and how much apple juice does David need to make four times the original recipe ?
To make four times the original recipe, David will need 12 cups of cranberry juice and 8 cups of apple juice.
400
Raymond cut a roll of ribbon into three pieces, X, Y, and Z, in the ratio 4 : 2 : 1. The length of the longest piece is 28 centimeters. Find the total length of the three pieces of ribbon.
The total length is 49.
400
A perfect cube is a number which is a cube of an integer. For example, 27 is a perfect cube because it is a cube of 3: 3 x 3 x 3 = 27. What is the largest 3-digit perfect cube?
729
400
A jar is filled with pennies and nickels in the ratio of 5 to 3 (pennies to nickels). There are 30 nickels in the jar, how many coins are there?
80
500
The ratio of the price of a coat to the price of a jacket is 7:12. If Tim buys a coat and a jacket, he needs to pay 95 dollars. If Tim buys 2 jackets, how many dollars should he pay?
$120
500
Alex makes an alloy by mixing two types of metals, say A and B. To make one unit of alloy, he needs 12 grams of metal A and 17 grams of metal B. If he makes, 5 units of alloy, how many grams of metal A and metal B does he need ?
To make 5 units of alloy, Alex needs 60 grams of metal A and 85 grams of metal B.
500
The ratio of Ahmad's age to Suri's age is 5 : 3 now. 4 years ago, the ratio was 7 : 4. How old is Ahmad now?
Ahmad now is 60 years old.
500
Six teachers can grade all final tests in 4 hours. If each teacher works at the same rate, how many hours would it have taken for 8 teachers to grade the tests?
3
500
A rectangular field has an area of 300 square meters and a perimeter of 80 meters. What is the ratio of the length to the width of this field?
3:1