Question

during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score?

Answer 1

40 field goals

Explanation:

Represent 2-point with x and 3-point with y;

Given

`x = 3y`

`2x + 3y =90`

Required

Determine x and y

`x = 3y`

`2x + 3y =90`

Substitute 3y for x in
`2x + 3y =90`

`2(3y) + 3y = 90`

`6y + 3y = 90`

`9y = 90`

Divide both sides by 9

`y = 10`

Substitute 10 for y in
`x = 3y`

`x = 3 * 10`

`x =30`

The number of field goals = x + y

`x + y = 30 + 10`

`x + y = 40`

Hence, the number of field goals is 40