Jack has $425 less in savings than Mattias. If the average of the two mens savings is $2,100, how much money does Mattias have in savings?

Answer :

ANSWER:

$ 2312.5

STEP-BY-STEP EXPLANATION:

We have that J are Jack's savings and M are Mattias's savings, therefore we can establish the following system of equations:

[tex]\begin{gathered} J=M-425\text{ (1)} \\ 2100=\frac{J+M}{2}(2) \end{gathered}[/tex]

Replacing (1) in (2) and solving for M:

[tex]\begin{gathered} 2100=\frac{M-425\text{ }+M}{2} \\ 2100\cdot2=2M-425 \\ 2M=4200+425 \\ M=\frac{4625}{2} \\ M=2312.5 \end{gathered}[/tex]

Mattias' savings are $ 2312.5