Question Video: Using the Ratio between Three Quantities and the Value of One of Them to Find the Other Two Quantities Mathematics

Some money is shared between Ethan, James and Mason in the ratio 8 : 15 : 4. If Ethan receives 104 LE, how much money do James and Mason each receive?

02:10

Video Transcript

Some money is shared between Ethan, James, and Mason in the ratio eight to 15 to four. If Ethan receives 104 Egyptian pounds, how much money do James and Mason each receive?

We are told in the question that the three boys share the money in the ratio eight to 15 to four. We are also told that Ethan receives 104 Egyptian pounds. This is equivalent to eight parts of the ratio. We can therefore calculate the value of one part by dividing 104 by eight. One way of doing this is using the short division bus stop method. 10 divided by eight is equal to one remainder two. 24 divided by eight is equal to three. This means that 104 divided by eight is 13.

One part of the ratio is equal to 13 Egyptian pounds. This means that we have multiplied Ethan’s ratio eight by 13 to get 104. We need to multiply 15 by 13 and four by 13 to calculate the amount of money James and Mason each receive, respectively. 15 multiplied by 10 is 150 and 15 multiplied by three is 45. This means that 15 multiplied by 13 is 195. Four multiplied by 13 is equal to 52. The ratio eight to 15 to four is equivalent to the ratio 104 to 195 to 52. We can therefore conclude that James receives 195 Egyptian pounds and Mason receives 52 Egyptian pounds.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.