MATH SOLVE

5 months ago

Q:
# 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.

Accepted Solution

A:

Answer:The cost of 1 squash = $0. 18The coat if 1 zucchini = $ 0.21Step-by-step explanation:Here,Let us assume the cost of 1 squash = $ mCost of 1 zucchini = $ nNow, the cost of 5 squash = 5 x ( cost of 1 squash) = 5 x ($ m) = 5 mNow, 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 mAnd, the cost of 1 zucchini = $ nSo, 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 mSubstitute 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 = 0.18or, m = 0. 18So, the cost of 1 squash = $0. 18And,the cost of 1 zucchini = n = 0.75 - 3 m = 0.75 - 3 (0.18) = 0.21or, the cost if 1 zucchini = $ 0.21