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  50c (A) $1 (A) 50c (B) $1 (B)
At first 400 180 160 1100
After transfer 1u 1u 3p 7p
         

50c coins

1u + 3p = 400 + 160 = 560 ………….. (1)

 

$1 coins

1u + 7p = 1280 …………… (2)

 

(2) – (1) -> 4p = 720

1p = 180

3p = 540

Value of 50c coins in B -> 540 × $0.50 = $270

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A 50c 400 (before) 400-x (after) 1
A 1 dollar 180 (before) 180-y (after) 1
B 50c 160 (before) 160+x (after) 3
B 1 dollar 1100 (before) 1100+y (after) 7

so we have A and B

A: 400-x=180-y ⇒ y=x-220

B: 7(160+x)=3(1100+y)  ⇒ 7(160+x)=3(1100+x-220) ⇒ x=380

so total 160+380=540 coins of 50c in Box B in the end

 

 

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