Question

Susan took two math tests. Her score onthe first one was 15 points more than thesecond one. The combined score for thetwo tests is 131. Find the scores for eachtest.

Answer 1

Start by calling each score

`\begin{gathered} \text{first score } \\ x+15 \\ \text{second score } \\ x \end{gathered}`

then, write the equation for the sum

`x+x+15=131`

simplify the equation

`2x+15=131`

solve for x

`\begin{gathered} 2x=131-15 \\ 2x=116 \\ x=58 \end{gathered}`

the score for the first test is

`58+15=73`

the score for the second test is

`58`