Ratios - Unit Rates, Solve for Denominator (Level 3)

This math topic involves solving problems related to unit rates and the derivation of denominators within scenarios involving ratios of lengths. Students practice calculating the correct denominator from given numerators (like wages per hour and unit prices per kilogram) and totals (such as total earnings and total costs). Specifically, they determine the total hours worked from wages and earnings or the total weight of items from their cost and unit price. This topic is designed to enhance understanding of ratios and unit rates within applied math contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Ratios - Unit Rates, Solve for Denominator Worksheet

Math worksheet on 'Ratios - Unit Rates, Solve for Denominator (Level 3)'. Part of a broader unit on 'Ratios of Lengths - Intro' Learn online: app.mobius.academy/math/units/ratios_lengths_calculating_intro/

1

unit price: 2.23 $/kg total cost: 22.25 $

What is the total weight in this scenario?

a

10.75 kg

b

9.25 kg

c

10 kg

d

11.25 kg

2

total cost: 12.5 $ unit price: 1.72 $/kg

What is the total weight in this scenario?

a

6.5 kg

b

5.25 kg

c

7.25 kg

d

9 kg

3

unit price: 1.2 $/kg total cost: 13.25 $

What is the total weight in this scenario?

a

10 kg

b

12 kg

c

11.5 kg

d

11 kg

4

total earnings: 1.5 $ wage: 0.09 $/hr

What is the total hours in this scenario?

a

17.25 hrs

b

17 hrs

c

15 hrs

d

16.75 hrs

5

unit price: 4.31 $/kg total cost: 17.25 $

What is the total weight in this scenario?

a

3.25 kg

b

2 kg

c

3 kg

d

4 kg

6

total earnings: 2.75 $ wage: 0.85 $/hr

What is the total hours in this scenario?

a

2.25 hrs

b

3.25 hrs

c

4.5 hrs

d

2.5 hrs

7

total earnings: 15.75 $ wage: 0.98 $/hr

What is the total hours in this scenario?

a

16 hrs

b

14.75 hrs

c

16.5 hrs

d

17.75 hrs