Question

Justin has $7.50 more than Eva, and Emma has $12 less than Justin. Together, they have a total of $63.00. Write an equation to determine how much money each person has.

Answer 1

let j be justin, e for Eva and m for Emma. We get

$\begin{gathered} j+e+m=63 \\ j=e+7.5 \\ m=j-12=e+7.5-12=e-4.5 \end{gathered}$

so we get that, replacing all the variables

$\begin{gathered} e+7.5+e+e-4.5=63 \\ 3e+3=63 \\ 3e=60 \\ e=20 \end{gathered}$

so we get that Eva has $20. therefore Justin has $27.5 and Emma has $15.5