Question

Melissa can combine the red and orange beads and pay $0.50 per 12 beads. She can combine the pink, yellow, and purple beads and pay $1.50 per 8 beads. She will receive a $5 discount on her order. Which expression can be used to find the total cost of her order?

Answer 1

`C(x,y) = (1.50)/(12)x + (1.50)/(8)y - 5`

is the total cost where x is number of combined red and orange beads and y is combined pink, yellow, and purple beads.

Explanation:

We are given the following in the question:

Cost of combined red and orange beads = $0.50 per 12 beads

Cost of combined pink, yellow, and purple beads = $1.50 per 8 beads

Discount amount = $5

Let x be the number of combined red and orange beads and y be the number of combined pink, yellow, and purple beads.

Then, we can write the cost function as:

Total cost =

Cost of red and orange beads + Cost of pink, yellow, and purple beads - Discount

`C(x,y) = 0.50* (x)/(12) + 1.50* (y)/(8) - 5\\\\C(x,y) = (1.50)/(12)x + (1.50)/(8)y - 5`

is the required total cost of Melissa's order.