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Ahmad had $160 more than Billy.

Ahmad gave 20% of his money to Billy.

Billy then gave half of his money to AHmad.

In the end, Ahmad had $180 more than BIlly.

How much did Billy have in the end?

 Sep 10, 2021
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Let what Billy had ==B

Ahmad had ==B + 160

Ahmad gave ==0.20[B + 160]==0.20B + 32

B + 0.2B + 32 ==1.2B + 32 - what Billy got.

0.50[1.2B + 32]==0.6B + 16 - what Billy had left

[B + 160] - [0.2B + 32] + [0.6B + 16]==180 + 0.6B + 16

1.4B + 144 ==180 + 0.6B + 16, solve for B

B==65 - what Billy started with.

65 + 160 ==225 - what Ahmad started with.

0.6B + 16 ==39 + 16 ==55 - What Billy ended up with.

1.4B + 144 ==91 + 144 ==235 - What Ahmad ended up with.

235 - 55 ==180 - difference in what they ended up with.

 Dec 18, 2021

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