﻿ Unit Rate Worksheet | Problems & Solutions

Unit Rate Worksheet

Unit Rate Worksheet
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1.

2.
Dorothy bought 4 boxes of chocolates for $12. Find the unit price.  a.$ 3 b. $30 c.$ 48 d. $32 Solution: Unit price is the price of one unit. Let the unit price of chocolates be p. 4 / 12= 1p [Both the fractions are proportional.] p = 1 × 12 / 4 [Cross multiply.] = 3 Correct answer : (1) 3. Which would be the best buy?  a. 7 pencils for$1.40 b. 6 pencils for $1.35 c. 15 pencils for$13.65 d. 8 pencils for $1.70 Solution: If the unit price of an item is the lowest compared to others, then that item is said to be the best buy. Unit price of a pencil = Price of all the pencilsNumber of pencils In case of '6 pencils for$1.35', the unit cost = 1.35 / 6 = $0.225 In case of '15 pencils for$13.65', the unit cost = 13.65 / 15 = $0.91 In case of '8 pencils for$1.70', the unit cost = 1.7 / 8 = $0.2125 In case of '7 pencils for$1.40', the unit cost = 1.40 / 7 = $0.20 Therefore, '7 pencils for$1.40' is the best buy.

4.
Identify the best deal.
 a. 27 ounces of nacho chips for $3.51 b. 10 ounces of nacho chips for$1.30 c. 18 ounces of nacho chips for $2.16 d. 25 ounces of nacho chips for$2.75

Solution:

If the unit price of an item is the lowest compared to others, then that item is said to be the best deal.

Unit price of an ounce of nacho chips = Price of the nacho chipsNumber of ounces of nacho chips

In case of '27 ounces of nacho chips for $3.51', the unit cost = 3.51 / 27 =$0.13

In case of '10 ounces of nacho chips for $1.30', the unit cost = 1.30 / 10 =$0.13

In case of '18 ounces of nacho chips for $2.16', the unit cost = 2.16 / 18 =$0.12

In case of '25 ounces of nacho chips for $2.75', the unit cost = 2.75 / 25 =$0.11

Therefore, '25 ounces of nacho chips for $2.75' is the best deal. Correct answer : (4) 5. Sarah wants to buy tomatoes. Which is the best deal?  a. 15 kg for$32.25 b. 4 kg for $8.72 c. 2 kg for$4.32 d. 5 kg for $10.85 Solution: If the unit price of an item is the lowest compared to others, then that item is said to be the best deal. Unit price of tomatoes = Price of all the kgs of tomatoesNumber of kgs of tomatoes In case of '4 kg for$8.72', the unit cost = 8.72 / 4 = $2.18 In case of '2 kg for$4.32', the unit cost = 4.32 / 2 = $2.16 In case of '5 kg for$10.85', the unit cost = 10.85 / 5 = $2.17 In case of '15 kg for$32.25', the unit cost = 32.25 / 15 = $2.15 Therefore, '15 kg for$32.25' is the best deal.

6.
Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.
 a. $16.26 per 6 yd b.$13.85 per 5 yd c. $11.04 per 4 yd d.$19.11 per 7 yd

Solution:

If the unit price of an item is the lowest compared to others, then that item is said to be the best deal.

Unit price of the cloth = Price of all the yards of the clothNumber of yards

In case of '$13.85 per 5 yd', the unit cost = 13.85 / 5 =$2.77

In case of '$19.11 per 7 yd', the unit cost = 19.11 / 7 =$2.73

In case of '$16.26 per 6 yd', the unit cost = 16.26 / 6 =$2.71

In case of '$11.04 per 4 yd', the unit cost = 11.04 / 4 =$2.76

Therefore, '$16.26 per 6 yd' is the best deal. Correct answer : (1) 7. Choose the best deal for buying oranges.  a.$152.16 for 24 dozens b. $133.77 for 21 dozens c.$139.7 for 22 dozens d. $158 for 25 dozens Solution: If the unit price of an item is the lowest compared to others, then that item is said to be the best deal. Unit price of orange = Price of all dozens of orangesNumber of dozens In case of '$133.77 for 21 dozens', the unit cost = 133.77 / 21 = $6.37 In case of '$139.7 for 22 dozens', the unit cost = 139.7 / 22 = $6.35 In case of '$152.16 for 24 dozens', the unit cost = 152.16 / 24 = $6.34 In case of '$158 for 25 dozens', the unit cost = 158 / 25 = $6.32 Therefore, '$158 for 25 dozens' is the best deal.

8.
Andre drives a bike for 4 hours covering 160 km. Find the distance covered by him in 7 hours.
 a. 28 km b. 16 km c. 160 km d. 280 km

Solution:

The distance covered in 4 hours = 160 km.

The distance covered in 1 hour = 160 ÷ 4 = 40 km.

So, the distance covered in 7 hours = 40 × 7 = 280 km.

9.
A 2 fl oz bottle of orange juice costs $8 and a 4 fl oz. bottle of orange juice costs$12. Which is a better buy?
 a. I don′t know. b. 2 fl oz. c. both have the same unit rate d. 4 fl oz.

Solution:

The unit price of 2 fl oz. bottle of orange juice = price / quantity = 8 / 2 = $4 The unit price of 4 fl oz. bottle of orange juice = price / quantity = 12 / 4 =$3

3 < 4
[Compare the two prices.]

It is better to buy 4 fl oz. bottle of orange juice.

10.
A truck can travel 210 km in 3 hours. What is its average speed?
 a. 70 km/hr b. 65 km/hr c. 80 km/hr d. 60 km/hr

Solution:

Average speed = total distance/total time

The average speed of the truck = 210 km3 hours

= 210/33/3 = 70 kmhour
[Divide both the numerator and the denominator by the denominator.]

The average speed of the truck is 70 km per hr.