Final answer:
Elmo scored 7 field goals in total. He scored 3 field goals in the games where each field goal was worth 2 points, and 4 field goals in the games where each field goal was worth 13 points.
Step-by-step explanation:
Elmo scored 88 field goals in total.
He played 7 basketball games, so we need to find out how many field goals he scored per game.
Let's assume that he scored 'x' field goals in the games where each field goal was worth 2 points, and 'y' field goals in the games where each field goal was worth 13 points.
So, we have the equation: 2x + 13y = 88.
Since Elmo played 7 games in total, we also have the equation: x + y = 7.
We can solve this system of equations to find the values of x and y.
Substituting y = 7 - x into the first equation, we get: 2x + 13(7 - x) = 88.
Simplifying the equation, we have: 2x + 91 - 13x = 88.
Combining like terms, we get: -11x = -3.
Dividing both sides by -11, we find: x = 3.
Substituting x = 3 into the equation x + y = 7, we find: 3 + y = 7. Solving for y, we get: y = 4.
Therefore, Elmo scored 3 field goals in the games where each field goal was worth 2 points, and 4 field goals in the games where each field goal was worth 13 points. In total, he scored 3 + 4 = 7 field goals.