Question

Skee Ambro sells deluxe singles for $3 and full albums for $8. If they sold 100 items in a day and made $665, those transactions can be represented by the following system:3x + 8y = 665x + y = 100What do the variables (x and y) represent in this scenario?

Answer 1

x represents the number of deluxe singles sold by Skee Ambro, while y represents the number of full albums sold by Skee Ambro.

This is because:

1) The addition of the number of deluxe singles sold and the number of full albums sold equals the total number of items sold. And that is why x + y = 100

2) When the product of the cost per amount of deluxe singles ($3) and the number of deluxe singles is added to the product of the cost per amount of full albums ($8) and the number of full albums sold, we get a total of $665 as the amount received from the sales. And thus we have:

($3) * x + ($8) * y = $665

otherwise written as:

3x + 8y = 665

Therefore:

x represents the number of deluxe singles sold by Skee Ambro, while y represents the number of full albums sold by Skee Ambro.