Word Problems
1. The Johnson family is going on a road trip to an amusement park. For every 10 miles they use 20 gallons of gas. how much gallons do they use for 1 mile?
2. Find the equivalent ratio.
Answer: 2 Gallons
Explanation: Divide both the miles and gallons by 10.
10 ÷ 10 = 1
20 ÷ 10 = 2
Therefore:
10 : 20 = 1 : 2 1 : 2 = 2
2. 1 : 2
What is the equivalent ratio for 6 : 12?
Answer: 3 : 6
Solution: (How I Did It) Divide both 6 and 12 by 2.
Therefore: 6 : 12= 3 : 6
Angela works at McDonald's as a chef. For every 3 fries she makes 9 chicken nuggets. What is the ratio of fries to chicken nuggets? Find the equivalent ratio.
Answer: 1:3
Solution Divide both terms by 3.
3 ÷ 3 = 1
9 ÷ 3 = 3
Therefore:
3 : 9 = 1 : 3
What is the equivalent ratio for 4 : 8?
Answer: 2 : 4
Solution: Divide both numbers by 2.
Therefore: 4 : 8 = 2 : 4
1.Patrick is going to the local community pool to swim. For every 300 laps he swims a distance of 600 yards. How many yards does he swim for 3 laps?
2. Find the equivalent ratio.
Answer: 6 Yards
For 3 laps Patrick swims 6 yards.
1. Divide both the laps and yards by 100.
300 ÷ 100 = 1
600 ÷ 100 = 3
Therefore:
300 : 600 = 1 : 6
Also:
1 : 6 =6
2. 1 : 6
What is the equivalent ratio for 21 : 24?
Answer: 7 : 8
Solution: Divide both numbers by 3.
Therefore: 21 : 24 = 7 : 8
1.Larry works at Walmart in the retail department. For every 27 minutes he stocks 30 shelves. What is the ratio of minutes to shelves stocked?
2. Find the equivalent ratio.
Answer: 9 : 10
Solution: (How I Did It) Divide the number of minutes and shelves stocked by 3.
Therefore: 27: 30 = 9 : 10
2. 9 : 10
What is the equivalent ratio for 70: 140?
Answer: 7 : 14
Solution: (How I Did It) divide both 70 and 140 by 10 to get 7 : 14
Therefore: 70 : 140 = 7 : 14
1. Gary is competing in a race in the Olympics to win first place. For every 9000 milliseconds he runs 18,000 miles. How many miles does he run for 9 milliseconds?
2. Find the equivalent ratio
Answer: 18 Miles
Solution: (How I Did It) Divide both the milliseconds and miles by 1,000
Therefore:
9,000 : 18,000 = 9 : 18
2. 9 : 18