Christine, Henry, and Manuel have a total of $109 in their wallets. Manuel has 3 times what Christine has. Christine has $9 less than Henry. How much do they have in their wallets?

Question

Keshawn Porter

Mathematics

8 July, 05:48

Christine, Henry, and Manuel have a total of $109 in their wallets. Manuel has 3 times what Christine has. Christine has $9 less than Henry. How much do they have in their wallets?

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Answers (2)

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Yuliana · Answer 1

Christine has $20. Manuel has $60. Henry has $29 ... I learned this type of excercises when I was in 5th grade

Deven Martin · Answer 2

Christine has $20, Manuel has $60 and Henry has $29

let x be the amount Christine has then

Manuel has 3x and Henry x + 9

summing the amounts gives the equation

x + 3x + x + 9 = 109

5x + 9 = 109 (subtract 9 from both sides)

5x = 100 (divide both sides by 5)

x = 20

thus Christine has $29, Manuel has (3 * 20) = $60 and

Henry has 20 + 9 = $29

check : 20 + 60 + 29 = 109