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

Answer:

40 field goals

Step-by-step 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