Question

tracy has $70 to spend on a birthday party favors for guests. she plans to buy candy at $0.33 per piece and bags at $0.25 per bag.
which equation represents the constraints on her purchase of $c$ pieces of candy and $b$ number of bags?
a. $0.25c + 0.33b = 70$
b. $0.33c + 0.25b = 70 - 0.25 - 0.33$
c. $(0.33 + 0.25)(c + b) = 70$
d. $0.33c + 0.25b = 70$

Explanation:

Step1: Define total cost components

Total cost = (cost of candy) + (cost of bags)

Step2: Calculate each cost component

Cost of candy: $0.33c$, Cost of bags: $0.25b$

Step3: Set total cost equal to budget

Total cost = $70$, so $0.33c + 0.25b = 70$

Answer:

D. $0.33c + 0.25b = 70$