A basketball team recently scored a total of 95 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots. Altogether, the team made 54 baskets and 16 more 2-pointers than foul shots. How many shots of each kind were made?

Question

How many 1-point foul shots did the team make__?

How many 2-point field goals did the team make___?

How many 3-point field goals did the team make___?

Answer 1

If the 1,2,3 pointers are in amounts of x,y,z, then

x+2y+3z = 95
x+y+z = 54
y = x+16

(x,y,z) = (17,33,4)

Answer 2

Thank you!!

Answer 3

A basketball team recently scored a total of 99 points on a combination of​ 2-point field​ goals, 3-point field​ goals, and​ 1-point foul shots.​ Altogether, the team made 54 baskets and 18 more​ 2-pointers than foul shots. How many shots of each kind were​ made?
How many​ 1-point foul shots did the team​ make?
How many​ 2-point field goals did the team​ make?
How many​ 3-point field goals did the team​ make?