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fiasKO [112]
3 years ago
9

Eddie's Evergreens sells Christmas trees and wreaths. Trees cost 3 dollars more than 4 times the price of each wreath. It costs

$ 99 buy 2 wreaths and 1 tree . How much does each wreath cost? How much does each tree cost?
Mathematics
1 answer:
kari74 [83]3 years ago
3 0

Answer:

W = 16

T = 67

Step-by-step explanation:

Represent trees with T and wreaths with W

Given

T = 3 + 4 * W

2 * W + T = 99

Solving (a): Cost of W

Substitute 3 + 4 * W for T in the second equation

2*W + 3 + 4 * W = 99

2W + 3 + 4 W = 99

Collect Like Terms

2W + 4 W = 99 - 3

6W = 96

Divide through by 6

W =\frac{96}{6}

W = 16

Hence, each wreath costs $16

Solving (b): Cost of T

T = 3 + 4 * W

Substitute 16 for W

T = 3 + 4 * 16

T = 3 + 64

T = 67

Hence, each tree costs $67

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