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Ratios - Calculate Total from Total Ratio (Level 2)

This math topic focuses on calculating total numbers using given ratios. The problems involve ratio expressions with missing elements, and the task is to determine the total count of a group (e.g., kids, pets, or balls) using the ratios of subgroups to the total group. Learners practice interpreting part-to-whole relationships and solving for unknown wholes. The topic blends practical ratio problems with different subjects, including boys to girls, cats to dogs, and tennis to soccer balls, enhancing varied contextual understanding of ratios.

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

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Ratios - Calculate Total from Total Ratio

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What is the total number of balls?

tennis balls : 10soccer balls : ?(soccer:all balls) = (4:9)\text{tennis balls : 10}\\\text{soccer balls : ?}\\\text{(soccer:all balls) = (4:9)}\\

Ratios - Calculate Total from Total Ratio Worksheet

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Math worksheet on 'Ratios - Calculate Total from Total Ratio (Level 2)'. Part of a broader unit on 'Rates and Ratios - Practice' Learn online: app.mobius.academy/math/units/rates_and_ratios_practice/
1
What is the total number of kids?
A LaTex expression showing \text{boys : ?}\\\text{girls : 12}\\\text{(boys:all kids) = (2:5)}\\
a
6
b
30
c
36
d
20
2
What is the total number of balls?
A LaTex expression showing \text{tennis balls : 10}\\\text{soccer balls : ?}\\\text{(soccer:all balls) = (4:9)}\\
a
18
b
11
c
17
d
13
3
What is the total number of balls?
A LaTex expression showing \text{tennis balls : 12}\\\text{soccer balls : ?}\\\text{(soccer:all balls) = (5:8)}\\
a
32
b
17
c
56
d
5
4
What is the total number of kids?
A LaTex expression showing \text{boys : 20}\\\text{girls : ?}\\\text{(girls:all kids) = (4:9)}\\
a
39
b
36
c
60
d
15
5
What is the total number of kids?
A LaTex expression showing \text{boys : 12}\\\text{girls : ?}\\\text{(girls:all kids) = (2:5)}\\
a
8
b
20
c
4
d
24
6
What is the total number of pets?
A LaTex expression showing \text{cats : 12}\\\text{dogs : ?}\\\text{(dogs:all pets) = (5:9)}\\
a
27
b
39
c
41
d
11
7
What is the total number of balls?
A LaTex expression showing \text{tennis balls : ?}\\\text{soccer balls : 8}\\\text{(tennis:all balls) = (5:9)}\\
a
13
b
18
c
17
d
12