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  • 15-07-2021
  • Mathematics
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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

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ewomazinoade ewomazinoade
  • 16-07-2021

Answer:

$168

Step-by-step explanation:

let x = total sum of money shared

Amount Gerald took = 51 + [tex]\frac{2}{7} x[/tex]

Amount Ben took = (51 + [tex]\frac{2}{7} x[/tex]) - 30

= 21 + [tex]\frac{2}{7} x[/tex]

(51 + [tex]\frac{2}{7} x[/tex]) +( [tex]21 + \frac{2}{7}x[/tex]) = x

combine like terms

51 + 21 = x - ([tex]\frac{2}{7} x + \frac{2}{7} x[/tex])

72 = x - 4/7x

72 = 3/7x

divide both sides of the equation by 7/3

x = $168

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