Question

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Find the cost of each vegetable.​

Answer 1

The cost of 1 squash = $0. 18

The coat if 1 zucchini = $ 0.21

Explanation:

Here,Let us assume the cost of 1 squash = $ m

Cost of 1 zucchini = $ n

Now, the cost of 5 squash = 5 x ( cost of 1 squash) = 5 x ($ m) = 5 m

Now, the cost of 2 zucchini = 2 x ( cost of 1 zucchini) = 2 x ($ n) = 2 n

So, the total cost of 5 squash and 2 zucchini = Cost of (5 squash + 2 zucchini)

⇒ $ 1. 32 = 5 m + 2 n ........ (1)

Similarly,

The cost of 3 squash = 3 x ( cost of 1 squash) = 3 x ($ m) = 3 m

And, the cost of 1 zucchini = $ n

So, the total cost of 3 squash and 1 zucchini = Cost of (3 squash + 1 zucchini)

⇒ $ 0. 75 = 3 m + n ........ (2)

or, n = 0.75 - 3 m

Substitute this value in (1) , we get

1. 32 = 5 m + 2 n ⇒ 1.32 = 5 m + 2 (0.75 - 3 m)

or, 1. 32 = 5 m + 2(0.75) - 2(3 m)

or, 1 . 32 = 5 m + 1.5 - 6m

⇒ m = 1. 5 - 1. 32 = 0.18

or, m = 0. 18

So, the cost of 1 squash = $0. 18

And,the cost of 1 zucchini = n = 0.75 - 3 m = 0.75 - 3 (0.18) = 0.21

or, the cost if 1 zucchini = $ 0.21