Question

Grace scored n points in her first basketball game of the season. She scored 8 more points in her second game than in her first, 3 fewer points in her third game than in her second, and 11 more points in her fourth game than in her third, scoring a total of 25 points in her fourth game. How many points did Grace score in her first game?

Answer 1

Grace scored 9 points in her first game.

Explanation:

In her first game, she scored n points.

She scored 8 more points in her second game than in her first

So n + 8.

3 fewer points in her third game than in her second

So n + 8 -3 = n + 5

11 more points in her fourth game than in her third

n + 5 + 11 = n + 16

A total of 25 points in her fourth game.

This means that:

n + 16 = 25

n = 9

So

Grace scored 9 points in her first game.