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.
