The combined cost of 2 yards of yellow and 1 yard of purple fabric is $17.69.
An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Length of yellow fabric = 5 yards
Length of purple fabric = 8 yards
Let x be the cost of per yard purple fabric.
Then, cost of per yard yellow fabric = 2 + x
Now since, Total amount paid is $62.80
Therefore,
5(2 + x) + 8x = 62.8
expanding the brackets we get,
10 + 5x + 8x = 62.8
Solving we get,
10 + 12x = 62.8
or, 12x = 52.8
⇒ x = 62.8/12
⇒ x = $5.23
Thus the cost of per yard purple fabric = $5.23
Similarly, cost of per yard yellow fabric = 2 + 5.23 = $7.23
Thus, combined cost of 2 yards of yellow and 1 yard of purple
fabric = 2*$5.23 + $7.23
= $10.46 + $7.23
= $17.69
Thus, the combined cost of 2 yards of yellow and 1 yard of purple fabric is $17.69
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