Question

LaTanya buys 5 yards of blue fabric

and 8 yards of green fabric. The
blue fabric costs
$2 more per yard
than the green fabric. She pays a
total of $62. What would be the
combined cost of 1 yard of blue
fabric and 1 yard of green fabric?

Answer 1

Answer: $10

Step by step explanation:

Let the cost of the green fabric be g

Then, the cost of the blue fabric will be g+2.

The equation will be:

5b + 8g = 62

where, b = blue and g = green

Since b = g+2, this will be:

5b + 8g = 62

5(g+2) + 8g = 62

5g + 10 + 8g = 62

Collect like terms

5g + 8g = 62 - 10

13g = 52

Divide both side by 13

13g/13 = 52/13

g = 4

Green yard cost $4

Since blue = g + 2 = 4+2 = $6

Blue yard cost $6

The combined cost will be:

= $4 + $6

= $10