Question

Stacy went to the store to buy vegetables. The cost of 5 zucchini and 2 squash was $10.30. Three zucchini and 1 squash cost $5.50. How much is the cost of each vegetable? * A. Squash costs $10.30 each; Zucchini costs $5.50 each. B. Squash costs $0.70 cents each; Zucchini costs $3.40 each. C. Squash costs $3.40 each; Zucchini costs $0.70 cents each. D. Squash costs $4.30 each; Zucchini costs $0.75 cents each.

Answer 1

Through setting up a system of equations and solving them, it was determined that the cost of each zucchini is $0.70 and each squash costs $3.40.

Step-by-step explanation:

Stacy's vegetable shopping problem requires us to find the cost of one zucchini and one squash using two equations derived from the information given.

1. Let's designate Z to represent the cost of one zucchini and S to represent the cost of one squash.
2. The first equation from the given information is: 5Z + 2S = $10.30.
3. The second equation is: 3Z + S = $5.50.
4. To find the value of S, we can multiply the second equation by 2 to eliminate Z when subtracted from the first equation: (3Z + S) * 2 = (5Z + 2S) which gives us 6Z + 2S = $11.00.
5. Now we can subtract the second derived equation from the first: (5Z + 2S) - (6Z + 2S) = $10.30 - $11.00, which simplifies to -Z = -$0.70, and hence Z = $0.70.
6. With the cost of Zucchini found, we can now find the cost of squash by substituting Z in our second original equation: 3(0.70) + S = $5.50 which gives us $2.10 + S = $5.50, and solving for S we get S = $5.50 - $2.10, which equals $3.40.

Therefore, the cost of each zucchini is $0.70 and the cost of each squash is $3.40.