Brenda, taylor, and justin together earn $300 per day. If brenda and justin together earn $188 and taylor and justin together earn $152 per day. What is the earning of justin per day?

Answer :

Let their daily pay be B, T, J. (As their initials suggest). B+T+J=300....1. B+J=188......2. T+J=152.......3. 2+3-1=> J = 40. This suggests Justin's daily pay is $40.
Brenda + Taylor + Justin = $ 300 / day  ---  equation 1
Brenda + Justin = $ 188 / day    ---- equation 2
Taylor + Justin = $ 152 / day    --- equation 3

add equation 2 and 3,

Brenda + Taylor + 2 * Justin = $ 188 + $ 152 = $ 340 / day

Subtract equation 1 from this equation,

Justin = $ 40 / day

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