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Share money using ratio
for 5th grade

Share out a given amount of money at a given ratio using multiplication and division

Calculate shares of money using ratios

This topic is intended to help you learn or revise how to calculate shares of a total based on a given ratio. This type of calculation has many real-world applications like working out portions of a shopping bill or other shared cost.

So, if you have two people sharing $100 in the ratio 3:2, how do you work out what each of them gets? Add up the ratios then divide the amount by that total. That gives you the value for a ratio proportion of 1. If you want to know a ratio proportion of 3, multiply that amount by 3. For example

Bill and Ben share $100 in the ratio 3:2

Add up the ratio shares and divide the monetary amount by the total ratio shares. Then multiply by the given ratio share:

$100 ÷ 5 x 3 = $60 and $100 ÷ 5 x 2 = $40

So we can see that Bill gets $60 and Ben gets $40.

Below is a table showing the first 6 question answer pairs for the topic "Share money using ratio" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.

The topic "Share money using ratio" is in the category Multiply + Divide for 5th grade (ages 10 to 11).

1 / 6
$100 is shared between James and Kate in the ratio 3:2. Therefore James gets $60
$100 is shared between James and Kate in the ratio 3:2.
$60
2 / 6
$45 is shared between Bella and Hazel in the ratio 4:5. Therefore Bella gets $20
$45 is shared between Bella and Hazel in the ratio 4:5.
$20
3 / 6
$400 is shared between James, Kate and Sam in the ratio 2:3:5. Therefore Kate gets $120
$400 is shared between James, Kate and Sam in the ratio 2:3:5.
$120
4 / 6
$55 is shared between John, Bill and Julie in the ratio 1:3:1. Therefore Bill gets $33
$55 is shared between John, Bill and Julie in the ratio 1:3:1.
$33
5 / 6
$190 is shared between Emma, Hannah and Eva in the ratio 1:2:3. Therefore Eva gets $95
$190 is shared between Emma, Hannah and Eva in the ratio 1:2:3.
$95
6 / 6
$4.50 is shared between Piper, Peyton and Peter in the ratio 2:2:5. Therefore Piper gets $1
$4.50 is shared between Piper, Peyton and Peter in the ratio 2:2:5.
$1

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Each of our math topics for elementary are made up of between 6 and 20 question and answer pairs (both the written form and a robot voice speaking those questions and answers). Each topic can be used with all the activities on the site.


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