Go through the Spectrum Math Grade 6 Answer Key Chapter 3 Lesson 3.3 Solving Ratio Problems and get the proper assistance needed during your homework.
Spectrum Math Grade 6 Chapter 3 Lesson 3.3 Solving Ratio Problems Answers Key
Tables can be used to help find missing values in real-life ratio problems.
A car can drive 60 miles on two gallons of gas. Create a table to find out how many miles the car can travel on 10 gallons of gas.
Complete the tables to solve the ratio problems. Circle your answer in the table.
Question 1.
You can buy 4 cans of green beans at the market for $2.25. How much will it cost to buy 12 cans of beans?
Answer:
Explanation:
Number of cans of green beans = 4.
Cost of 4 cans of green beans at the market = $2.25
Cost of each can of green beans = Cost of 4 cans of green beans at the market ÷ Number of cans of green beans
= $2.25 ÷ 4
= $0.5625.
Cost of 8 cans of green beans = Cost of each can of green beans × 8
= $0.5625 × 8
= $4.5.
Cost of 12 cans of green beans = Cost of each can of green beans × 12
= $0.5625 × 12
= $6.75.
Question 2.
An ice-cream factory makes 180 quarts of ice cream in 2 hours. How many quarts could be made in 12 hours?
Answer:
Explanation:
Number of quarts of ice cream an ice- cream factory makes = 180.
Number of hours an ice- cream factory makes 180 quarts of ice cream = 2.
Number of quarts of ice cream an ice- cream factory makes in an hour = Number of quarts of ice cream an ice- cream factory makes ÷ Number of hours an ice- cream factory makes 180 quarts of ice cream
= 180 ÷ 2
= 90.
Number of quarts of ice cream an ice- cream factory makes in 4 hours = 4 × Number of quarts of ice cream an ice- cream factory makes in an hour
= 4 × 90
= 360.
Number of quarts of ice cream an ice- cream factory makes in 6 hours = 6 × Number of quarts of ice cream an ice- cream factory makes in an hour
= 6 × 90
= 540.
Number of quarts of ice cream an ice- cream factory makes in 8 hours = 8 × Number of quarts of ice cream an ice- cream factory makes in an hour
= 8 × 90
= 720.
Number of quarts of ice cream an ice- cream factory makes in 10 hours = 10 × Number of quarts of ice cream an ice- cream factory makes in an hour
= 10 × 90
= 900.
Number of quarts of ice cream an ice- cream factory makes in 12 hours = 12 × Number of quarts of ice cream an ice- cream factory makes in an hour
= 12 × 90
= 1080.
Question 3.
A jet travels 650 miles in 3 hours. At this rate, how far could the jet fly in 9 hours?
Answer:
Explanation:
Number of miles a jet travels = 650.
Number of hours a jet travels = 3.
Number of miles each hour jet travels = Number of miles a jet travels ÷ Number of hours a jet travels
= 650 ÷ 3
= 216.67.
Number of miles a jet travels in 6 hours = 6 × Number of miles each hour jet travels
= 6 × 216.67
= 1,300.
Number of miles a jet travels in 9 hours = 9 × Number of miles each hour jet travels
= 9 × 216.67
= 1950.03.
Question 4.’
A bakery can make 640 bagels in 4 hours. How many can they bake in 16 hours?
Answer:
Explanation:
Number of bagels a bakery can make in 4 hours = 640.
Number of hours a bakery can make 640 bagles = 4.
Number of bagels a bakery can make in an hour = Number of bagels a bakery can make in 4 hours ÷ Number of hours a bakery can make 640 bagles
= 640 ÷ 4
= 160.
Number of bagels a bakery can make in 8 hours = 8 × Number of bagels a bakery can make in an hour
= 8 × 160
= 1,280.
Number of bagels a bakery can make in 12 hours = 12 × Number of bagels a bakery can make in an hour
= 12 × 160
= 1,920.
Number of bagels a bakery can make in 16 hours = 16 × Number of bagels a bakery can make in an hour
= 16 × 160
= 2,560.