Question

Ms. Sanders goes grocery shopping and buys 9 items. She spent a total of $45 on a combination of packages of cheese sticks and packages of waffles. One package of cheese sticks costs $4 and one package of waffles costs $7. Write and solve a system of equations to find the number of packages of cheese sticks and packages of waffles that she bought.

Answer 1

Ms. Sanders bought 6 packages of cheese sticks and 3 packages of waffles.

Explanation:

Let c = cheese sticks and w = waffles.

We have

c + w = 9

4c + 7w = 45

Solving using substitution,

w = 9 - c

4c + 7(9 - c) = 45

4c + 63 - 7c = 45

-3c = -18

c = 6

6 + w = 9

w = 3

I hope this helps!