Question

I NEED HELP WITH THESE

1.) Pablo and Kenneth are going make and sell some wooden figures to raise money for a charity. Pablo will carve them and Kenneth will paint them. It takes Pablo 2 hours to carve a small figure (S) and 3 hours to carve a large one (L). He plans to spend 24 hours carving.

Kenneth will paint the figures and only has enough time to paint at most 10 of them. They want to raise as much money as possible.

Which two of the following equations model the constraints of this situation? (The constraints are the limits on what Pablo and Kenneth can make.)


S+L=10

3S+2L=24

2S+3L=24

2S+3L=10

S+L=24

Answer 1

2S + 3L = 24

S+L=10

Explanation:

We will be using the Elimination Method for this question.

S = small || L = large

1. Multiply 2nd equation by -2 then bring down 1st equation:

(-2) (S + L= 10)

= -2S - 2L = -20

2S + 3L =24

= 0S + L = 4

y = 4

2. Substitute L in either equation:

S + L = 10

S + (4) = 10

S = 6

3. Plug both S and L values into other equation:

2(6) + 3(4) = 24

12 + 12 = 24

Solution: (6, 4)

They will need to make 6 small and 4 large to get the most amount of money.