Question

When Nick shoots a basketball, he either sinks the shot or misses. For each shot Nick sinks, he given 5 points by his father. For each missed shot Nick's Dad takes 2 points away. Nick attempts a total of 28 shots and ends up with zero points (i.E., he breaks even). How many shots did Nick sink?

Answer 1

The number of shots Nick sunk was 8

Explanation:

Let

x -----> number of shots that Nick sunk.

y -----> number of shots Nick missed

we know that

x+y=28

y=28-x -----> equation A

5x-2y=0 ----> equation B

substitute equation A in equation B and solve for x

5x-2(28-x)=0

5x-56+2x=0

7x=56

x=8

Find the value of y

y=28-x ----> y=28-8=20

therefore

The number of shots Nick sunk was 8