Question

Gerald and ben shareda sum of money. Gerald took $51 more than 2/7 of the money. Ben took $30 less than gerald. What was the sum of money

Answer 1

$168

Explanation:

let x = total sum of money shared

Amount Gerald took = 51 +
`(2)/(7) x`

Amount Ben took = (51 +
`(2)/(7) x`) - 30

= 21 +
`(2)/(7) x`

(51 +
`(2)/(7) x`) +(
`21 + (2)/(7)x`) = x

combine like terms

51 + 21 = x - (
`(2)/(7) x + (2)/(7) x`)

72 = x - 4/7x

72 = 3/7x

divide both sides of the equation by 7/3

x = $168