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?

(Note: x ≥ 0, y ≥ 0, and x and y take only integer values.)

A)20
B)25
C)50
D)100

Answer 1

0.75x + 0.5y = 25.....and she doesn't want any licorice....so x = 0
0.75(0) + 0.5y = 25
0.5y = 25
y = 25/0.5
y = 50....she can get 50 cherry candies

Answer 2

The correct answer among the choices provided is option B. She can buy 50 cherry candies if she wishes to spend her entire money on it. The first step to find the answer is to substitute the x value with zero. Then the equation that is used to arrive at the answer is 0.5y =25.