Question Video: Finding the Values of Two Quantities given Their Sum and the Ratio between Them Mathematics

For school uniforms at the beginning of the school year, a mother shares 370 LE between her sons William and Daniel in the ratio 7 : 3. How much money did each son receive?

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Video Transcript

For school uniforms at the beginning of the school year, a mother shares 370 Egyptian pounds between her sons William and Daniel in the ratio seven to three. How much money did each son receive?

In this question, we are given the total amount of money, 370 Egyptian pounds, and the ratio this is shared, seven to three. For every seven pound William gets, Daniel gets three pound. The order of the ratio is important here.

In order to share any value in a given ratio, we need to use the following steps. Our first step is to add the ratios. In this case, seven plus three is equal to 10. Our next step is to divide the total by this answer. This enables us to calculate the value of one share or one part. 370 divided by 10 is equal to 37. Therefore, each part of the ratio is worth 37 Egyptian pounds. Our final step is to multiply each part of the ratio by this value.

We need to multiply seven by 37 and three by 37. Seven multiplied by 37 is 259 as seven multiplied by 30 is 210 and seven multiplied by seven is 49. Adding these two numbers gives us 259. Three multiplied by 37 is 111. At this stage, it is worth checking that the sum of our answers is 370. 259 plus 111 is indeed 370. As William gets the larger share, we can conclude that he gets 259 Egyptian pounds and Daniel gets 111 Egyptian pounds.

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