Question

Dwayne scored 55 points in the last basketball game, which is 10 points more than his previous personal best. Lebron scored 15 points more than Chris in the same game. Lebron scored the same number of points as Dwayne’s previous personal best. Let d represent the number of points Dwayne scored during his previous personal best and c represent the number of Chris’s points.

a. How many points did Chris score during the game?
b. If these are the only three players who scored, what was the team’s total number of points at the end of the game?

Use tape diagrams to solve the problem.

Answer 1

Answer: a) 30, b) 120

Explanation:

Since we have given that

Let the number of points Scored by Dwayne be 'd'.

Number of points in the last basket ball game = 55 points

According to question, we get that

`d+10=55\\\\d=55-10\\\\d=45`

Let the number of points that Chris's score be 'c'.

Number of points Lebron scored = 45

According to question, number of points scored by Chris is given by

`c+15=45\\\\c=45-15\\\\c=30`

a. How many points did Chris score during the game?

c = 30

b. If these are the only three players who scored, what was the team’s total number of points at the end of the game?

`45+45+30=90+30\\\\=120`

Hence, a) 30, b) 120