[Solved] MATH062N Week 4 Unit Rates and Unit Prices

Question 1

A box of 10 bars of soap costs $10.88, while the same brand with 4 more bars costs $17.62. Which is the better buy? Round your answer to the nearest cent if necessary.

Question 2

The gardening store is selling a 50-lb bag of limestone chips for $32.23. What is the unit price for one pound of chips? Round your answer to the nearest cent if necessary.

Question 3

Write the ratio as a fraction: 34cups of vinegar for 51ounces of oil. Simplify your answer.

Question 4

Seth is looking to buy a car. He finds one that can go 780miles on a full tank of 16gallons of gas. Find the rate of miles per gallon.

Question 5

Holly wants to carry 72 pounds of rice using a bag with a single shoulder strap. The area of contact between the strap and her shoulder is 36 square inches. Assuming the weight is evenly distributed, what is the rate of pounds per square inch?

Question 6

Translate the phrase into an algebraic expression: udollars per 32loads.

Ans:

uloads/$32

$32/uloads

$u/32loads

32loads/$u

Question 7

Translate the phrase into an algebraic expression: 49dollars for xlessons.

Ans:

49lessons/xdollars

xdollars/49lessons

xlessons/49dollars

49dollars/xlessons

Question 8

An average stenographer can type 510words in 180seconds. Write this rate as a fraction. Simplify your answer.

Question 9

Write the ratio as a fraction: $42 for 81juiceboxes. Simplify your answer.

Question 10

Write the ratio as a fraction: $70 for 63glasses. Simplify your answer.

Question 11

At the store, 4oz of Brand A glue costs $1.48, while 5oz of Brand B glue costs $1.77. Which is the better buy, Brand A or Brand B glue?

Q 12

A package of 12 light bulbs costs $19.97, while a package with 4 light bulbs costs $4.97. Which is the better buy? Round your answer to the nearest cent if necessary.

Q 13

Penny wants to carry 36 pounds of rice using a bag with a single shoulder strap. The area of contact between the strap and her shoulder is 24 square inches. Assuming the weight is evenly distributed, what is the rate of pounds per square inch?

Q 14

Alexa was paid $1,260 last week for working 40hours. What is Alexa’s hourly pay rate before taxes?

Q 15

Translate the phrase into an algebraic expression: the ratio of 6u and 13v.

Q 16

Translate the phrase into an algebraic expression: gbeats in 45seconds.

Ans:

gseconds/45beats

45beats/gseconds

gbeats/45seconds

45seconds/gbeats

 

 

Solution

Question 1

A box of 10 bars of soap costs $10.88, while the same brand with 4 more bars costs $17.62. Which is the better buy? Round your answer to the nearest cent if necessary.

Ans: The better buy is the box of 10 bars of soap for $1.09 per bar

Question 2

The gardening store is selling a 50-lb bag of limestone chips for $32.23. What is the unit price for one pound of chips? Round your answer to the nearest cent if necessary.

Ans: The unit price is $0.64 per pound

Question 3

Write the ratio as a fraction: 34cups of vinegar for 51ounces of oil. Simplify your answer.

Ans: 2 cups/3 ounces…………please follow the link below to purchase the solutions at $5