This math topic focuses on practicing the calculation of unknown values in ratios. It covers scenarios involving ratios of cats, dogs, tennis balls, soccer balls, boys, and girls to their respective total counts (e.g., all pets or all balls). Each problem presents a specific part-to-total ratio and asks the student to determine the unknown part from it. This topic falls within a broader unit on ratios of lengths. Each exercise requires students to utilize basic ratio concepts to solve problems in contextually different settings, ranging from sports equipment to pets and gender distributions.

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

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Ratios - Calculate Value from Total Ratio Worksheet

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Ratios - Calculate Value from Total Ratio
1
How many dogs are there?
A LaTex expression showing \text{cats : 6}\\\text{dogs : ?}\\\text{(dogs:ALL pets) = (4:7)}\\
a
10
b
12
c
8
d
15
2
How many tennis balls are there?
A LaTex expression showing \text{tennis balls : ?}\\\text{soccer balls : 4}\\\text{(tennis:ALL balls) = (5:7)}\\
a
13
b
8
c
10
d
3
3
How many cats are there?
A LaTex expression showing \text{cats : ?}\\\text{dogs : 9}\\\text{(cats:ALL pets) = (4:7)}\\
a
5
b
12
c
6
d
15
4
How many soccer balls are there?
A LaTex expression showing \text{tennis balls : 8}\\\text{soccer balls : ?}\\\text{(soccer:ALL balls) = (3:7)}\\
a
6
b
8
c
15
d
3
5
How many boys are there?
A LaTex expression showing \text{boys : ?}\\\text{girls : 6}\\\text{(boys:ALL kids) = (3:5)}\\
a
18
b
6
c
17
d
9
6
How many soccer balls are there?
A LaTex expression showing \text{tennis balls : 15}\\\text{soccer balls : ?}\\\text{(soccer:ALL balls) = (2:7)}\\
a
10
b
11
c
6
d
12
7
How many cats are there?
A LaTex expression showing \text{cats : ?}\\\text{dogs : 6}\\\text{(cats:ALL pets) = (5:7)}\\
a
22
b
15
c
5
d
7
8
How many soccer balls are there?
A LaTex expression showing \text{tennis balls : 16}\\\text{soccer balls : ?}\\\text{(soccer:ALL balls) = (5:9)}\\
a
22
b
8
c
28
d
20