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Ali and Ben each have a sum of money. If Ali gives $6.20 to Ben, he will have 1/5 of Ben's amount. If Ben gives $12.80 to Ali, he will have 3 times as much money as Ali. How much money does Ben have?

 Jul 14, 2022
 #1
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If Ali gives $6.20 to Ben, he will have 1/5 of Ben's amount,
Ali : 1u + 6.20
Ben : 5u - 6.20

If Ben gives $12.80 to Ali, he will have 3 times as much money as Ali,
Ali : 1p - 12.80
 

Ben : 3p + 12.80

 

1u + 6.20 -------> 1p - 12.80
1u -------> 1p - 12.80 - 6.20 = 1p - 19
5u - 6.20 -------> 3p + 12.80
5(1p - 19) - 6.20 = 5p - 101.20 -------> 3p + 12.80
1p -------> (12.80 + 101.20)/(5 - 3) = 57
3p + 12 .80 -------> 3 x 57 + 12 .80 = 183.80

Ans : $183.80.

 

P6 math.

 Jul 15, 2022

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