Question

Rachel can buy licorice sticks for $0.75 and cherry candies for $0.50 and has a budget of $25. If her expenses are represented by the equation 0.75x + 0.5y = 25, where x is the number of licorice sticks and y is the number of cherry candies, how many cherry candies can she buy if she wishes to spend the entire $25 on cherry candies?

Answer 1

Answer:

She can buy 50 cherry candies if she wishes to spent the entire $25 on cherry candies

Step-by-step explanation:

Cost of each licorice sticks = $0.75

Cost of each cherry candy = $0.50

Total budget = $25

Equation to represent her expenses is 0.75x + 0.5y = 25

where x is the number of licorice sticks and y is the number of cherry candies

Let the number of cherry candies she can buy be c.

So,

Cost of each cherry candy * Number of cherry candies = Total budget

=> 0.50 x c = 25

We get

0.50c = 25

We need to eliminate 0.50 from the left so we divide both sides by 0.50

$\frac{0.50c}{0.50}=\frac{25}{0.50}$

Cancelling out 0.50 from the top and bottom of the left side we get,

c = 50

So, she can buy 50 cherry candies if she wishes to spent the entire $25 on cherry candies.

Answer 2

She will be able to buy 50 candies if she wish to spend her entire 25 dollars on only cherry candies.