Question

Tina Thompson scored 34 points in a recent basketball game without making any 3-point shots. She scored 23 times, making several free throws worth 1 point each and several field goals worth two points each. how many free throws did she make? how many 2 point field goals did she make?

Answer 1

Answer: She made 11 free throws and 12 field goals

Explanation:

Answer 2

f + g = 23
f+g-g=23-g
f = 23-g
f + 2g =34
23-g+2g=34
23+g=34
23-23+g=34-23
g = 11

f + g = 23
f + 11 = 23
f +11-11 =23-11
f = 12

Check
f + 2g =34
12 + 2(11) =34
12 + 22 = 34
34=34

She made 11 free throws and 12 field goals