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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

Respuesta :

C.50
The equation to spend $25 in both is given by 0.75x + 0.5y = 25 means
a certain quantity of licorice sticks bought at $0.75 per stick ADD to certain quantity of cherry candies bought at $0.25 equal 25$.

But if she want only spend the entire $25 for cherry candies that's mean NO licorice sticks (0.75x = 0) then we have
0.50 y = 25 y = 25/0.5 = 50

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