Question

Justin has $7.50 more than Eva and Emma has $12 less than Justin. Together, they have a

Answer 1

Answer: To make it easier, lets say Justin = J, Eva = E, and Emma = M. Then, J = E + 7.50 M = J -12 J + E + M = 63 You can substitute for M in the third equation using the second equation, and you get: J + E + J - 12 = 63 Clean it up a little bit and you get: 2J + E = 75 You know J = E + 7.50, so substitute that for J and you get: 2(E + 7.50) + E = 75 2E + 15 + E = 75 3E + 15 = 75 3E = 60 E = 20 ; meaning that Eva has $20. Justin has $7.50 more than Eva, so he has $27.50. Emma has $12 less than Justin, so Emma has $15.50. Double check your answer by making sure they all add up to 63, which they do.

If Eva has x dollars, Justin has (x + 7.50) and Emma has (x + 7.50 - 12) = (x - 4.50) dollars. So, x + (x + 7.50) + (x - 4.50) = 63 => 3x + 3 = 63 => x = 20 So, Eva has $20, Justin has $27.50 and Emma has $15.50.

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