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