Question Video: Solving Word Problems Involving Ratios Mathematics • 9th Grade

The ratio between Mason’s money and Emma’s money is 7 : 1. If the sum of their money is 480 LE, how much money does Mason have?

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Video Transcript

The ratio between Mason’s money and Emma’s money is seven to one. If the sum of their money is 480 Egyptian pounds, how much money does Mason have?

We’re told that the ratio of Mason to Emma is seven to one. This means that for every one pound that Emma has, Mason has seven pounds. Seven plus one is equal to eight. This means that there are eight parts to the ratio in total. Between them, Mason and Emma had 480 Egyptian pounds. We need to divide this by eight. 48 divided by eight is equal to six. Therefore, 480 divided by eight is equal to 60.

60 Egyptian pounds corresponds to one part of the ratio. Mason has seven parts of the ratio. Therefore, we need to multiply seven by 60. Seven multiplied by six is equal to 42. Therefore, seven multiplied by 60 is equal to 420. We can therefore conclude that Mason has 420 Egyptian pounds. Emma had one part of the ratio. Therefore, she has 60 Egyptian pounds. 420 plus 60 is equal to 480. Therefore, they have a sum of 480 Egyptian pounds. The correct answer to this question is 420 Egyptian pounds.