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Question

Ali and Ben had a total of $540

Ben and Chan had a total of $500

Ali and Chan had a total of $560 

how much money did Ali, Ben and Chan have altogether 

 

for the life of me, I can’t seem to make figure out how to solve it. Any kind soul can help please?

desperate parent

Answer

A + B + B + C + A + C  = 540 + 500 +560

2(A + B + C ) = 1600

Therefore A + B + C = 1600/2 = $800

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Alternatively, using models

[—-A—–][——B——]<-20–>

[—-A—–][————C———]

C = B + 20

B + C = 500  (Given)

B + B + 20 = 500

2B = 480  +> B = 240

C = 240 + 20 = 260

A = 540 -240 = 300

Therefore A + B + C = 300+240+260 = $800

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