Question

Shelly sells five bone-shaped treats for $3.50. How much should she charge for a package of 12 treats? Which proportion is needed to solve the problem?

a) 5/12=3.50/x
b) 12/5=x/3.50
c) 3.50/5=x/12
d) x/12=5/3.50

Answer 1

Shelly should charge $8.40 for a package of 12 bone-shaped treats. The correct proportion to solve this problem is 3.50/5=x/12, solved through cross multiplication and division leading to the answer.

Step-by-step explanation:

To determine how much Shelly should charge for a package of 12 treats, we need to set up a proportion comparing the cost of 5 treats to the cost of 12 treats. The correct proportion to use for this problem is 3.50/5=x/12, which represents the cost of a known number of treats (3.50 per 5 treats) to the cost of the desired number of treats (x per 12 treats).

Here's how you can solve the problem step by step:

1. Write the proportion: 3.50/5 = x/12.
2. Cross multiply to solve for x: 3.50 * 12 = 5 * x.
3. Calculate the result: 42 = 5x.
4. Divide both sides by 5 to find x: x = 42/5.
5. Calculate x to find the cost for 12 treats: x = 8.40.

Therefore, Shelly should charge $8.40 for a package of 12 bone-shaped treats.