# Spectrum Math Grade 6 Chapter 3 Lesson 4 Answer Key Understanding Unit Rates

Go through the Spectrum Math Grade 6 Answer Key Chapter 3 Lesson 3.4 Understanding Unit Rates and get the proper assistance needed during your homework.

## Spectrum Math Grade 6 Chapter 3 Lesson 3.4 Understanding Unit Rates Answers Key

A rate is a special ratio that compares quantities of two different types of items—for example, 340 miles per 10 gallons (340 mi./10 gal.). In a unit rate, the second quantity is always I, such as in 34 miles per gallon (34 mi./l gal.). This allows you to see how many of the first item corresponds to just one of the second item.
Suppose you want to divide students equally between buses for a field trip. To see how many students should go on each bus, find the unit rate.
If there are 160 students and 4 buses, how many students should go on each bus?
$$\frac{160}{4}$$ = $$\frac{s}{1}$$ To find the number of students for one bus, divide by the number of buses total.
$$\frac{160}{4}$$ = $$\frac{40}{1}$$ The unit rate is $$\frac{40}{1}$$, or 40 students per bus.

Solve each problem by finding the unit rate.

Question 1.
John can create 20 paintings in 4 weeks. How many paintings can he create each week?
Number of paintings can he create each week = 5.

Explanation:
Number of paintings John can create = 20.
Number of weeks = 4.
Let the number of paintings can he create each week be S.
=> $$\frac{20}{4}$$ = $$\frac{S}{1}$$
=> 20 × 1 = S × 4
=> 20 = 4S
=> 20 ÷ 4 = S
=> 5 = S.

Question 2.
Sasha can walk 6 miles in 3 hours. If she has to walk 1 mile, how long will it take her?
Number of hours she takes to walk 1 mile = 2.

Explanation:
Number of miles Sasha can walk = 6.
Number of hours she can walk = 3.
Let the hours she takes to walk 1 mile be X.
=> $$\frac{6}{3}$$ = $$\frac{X}{1}$$
=> 6 × 1 = X × 3
=> 6 = 3X
=> 6 ÷ 3 = X
=> 2 = X.

Question 3.
Todd keeps his 4-room house very clean. It takes him 1 hour and 36 minutes to clean his whole house. How long does it take him to clean one room?
Time it takes him to clean one room = 24.

Explanation:
Number of rooms Todd keeps cery clean = 4.
Number of hours to clean his whole house = 1hour 36 minutes = 96 minutes.
Let the time it takes him to clean one room be S.
=> $$\frac{90}{4}$$ = $$\frac{S}{1}$$
=> 96 × 1 = S × 4
=> 96 = 4S
=> 96 ÷ 4 = S
=> 24 minutes = S.

Question 4.
Victoria can make 8 necklaces in 4 days. How long does it take her to make one necklace?
Number of days it takes her to make one necklace = 2.

Explanation:
Number of necklaces Victoria can make = 8.
Number of days = 4.
Let the number of days it takes her to make one necklace be X.
=> $$\frac{8}{4}$$ = $$\frac{S}{1}$$
=> 8 × 1 = S × 4
=> 8 = 4S
=> 8 ÷ 4 = S
=> 2 = S.

Question 5.
Byron has his own bakery. He bakes 84 cakes each week. How many cakes can he make in one day?
Number of cakes he makes in one day = 12.

Explanation:
Number of cakes he bakes = 84.
Number of days he bakes them = 7.
Let the number of cakes he makes in one day be X.
=> $$\frac{84}{7}$$ = $$\frac{X}{1}$$
=> 84 × 1 = X × 7
=> 84 = 7X
=> 84 ÷ 7 = X
=> 12 = X.

Question 6.
Charlie buys 3 computer tables for $390. How much did he pay for each table? Answer: Cost of each computer table he pays =$130.

Explanation:
Number of computer tables Charlie buys = 3.
Cost of computer tables he buys = $390. Let the cost of each computer table he pays be S. => $$\frac{390}{3}$$ = $$\frac{S}{1}$$ => 390 × 1 = S × 3 => 390 = 3S => 390 ÷ 3 = S =>$130 = S.