Question

The basketball team scored 89 points in just two- and and three baskets. The number of two points baskets was 27 more than the number of three point baskets. How many two point and three pointers did the team make?

Answer 1

The team made 27 two pointers and 7 three pointers.

Explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of two point baskets.

y is the number of three point baskets.

The team scored 89 points

This means that
`2x + 3y = 89`

The number of two points baskets was 27 more than the number of three point baskets.

This means that
`x = 27 + y`

So

`2x + 3y = 89`

`2(27 + y) + 3y = 89`

`54 + 2y + 3y = 89`

`5y = 35`

`y = (35)/(5)`

`y = 7`

`x = 27 + y = 27 + 7 = 34`

The team made 27 two pointers and 7 three pointers.