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

Answer:

$C(x,y) = \dfrac{1.50}{12}x + \dfrac{1.50}{8}y - 5$

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

Step-by-step 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

$C(x,y) = 0.50\times \dfrac{x}{12} + 1.50\times \dfrac{y}{8} - 5\\\\C(x,y) = \dfrac{1.50}{12}x + \dfrac{1.50}{8}y - 5$

is the required total cost of Melissa's order.