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gemouljr
12.03.2021 •
Mathematics
Rewrite in simplest terms: (-x+8y)+(-10x-6y)(−x+8y)+(−10x−6y)
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Ответ:
The combined cost of 1 yard of blue fabric and 1 yard of green fabric is $ 10
Solution:
Let "b" be the cost of 1 yard of blue fabric
Let "g" be the cost of 1 yard of green fabric
Given that Latanya buys 5 yards of blue fabric and 8 yards of green fabric
Therefore, we can frame a equation as:
5 x cost of 1 yard of blue fabric + 8 x cost of 1 yard of green fabric = 62
5b + 8g = 62 --------- eqn 1
Also given that The blue fabric costs $2 more per yard than the green fabric
cost of 1 yard of blue fabric = 2 + cost of 1 yard of green fabric
b = 2 + g ---------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
5 ( 2 + g ) + 8g = 62
10 + 5g + 8g = 62
10 + 13g = 62
13g = 52
g = 4From eqn 2,
b = 2 + g = 2 + 4 = 6
b = 6combined cost = b + g = 6 + 4 = 10
Thus combined cost of 1 yard of blue fabric and 1 yard of green fabric is $ 10