Leon cuts the length of a 9-foot board into two sections. Three times the length of the longer section is 3 feet more than 3 times the length of the shorter section.

Answer 1

Here's the algebra:

L + S = 9, so L = 9 - S

Three times the long pc. is 3L; 3 more than 3 times the shorter pc. is 3S + 3; 3L = 3S + 3

Substituting: 3(9 - S) = 3S + 3 → 27 - 3S = 3S + 3 → 24 = 6S → S = 4 ft.

So L = 9 - 4 = 5 ft.

Answer 2

5 feet and 4 feet

they sum to 9 feet

3 times 5 = 3+ 3 times 4

15=3+12