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Father's Day was coming up. Adam and Joe decided to share the cost of a Father's Day present for their father. The ratio of Adam's share to Joe's share was 4:6. When they checked the price of the present again, the cost increased by 20%. As a result, Adam had to pay $57.60 for his share. What was the original cost of the present?

 May 7, 2024
 #1
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Let the original cost  =  C

Let Adam's share = A

Adam would have paid    4 / (4 + 6) * C =   (4/10)C =  (2/5)C  =  A ....so....   C = (5/2)A 

 

The new cost is  20% more =   1.2C

So now Adam pays   1.2A = 57.60

A = 57.60 / 1.2 = 48

 

Original cost  

C = (5/2)A =  (5/2) *48 =  $120

 

cool cool cool

 May 7, 2024
edited by CPhill  May 7, 2024

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