Question

Cindy won $50.00 for getting first place in the Science Fair. She spent her winnings on robotics kits and chemistry sets. Each robotics kit (y) costs $10.00, while each chemistry set costs $8.00 (x). Which
of the following is a viable solution to the number of robotics kits and chemistry sets Cindy can purchase, assuming she spends her entire winnings? (1 point)

(0,5)

(3,2.6)

(-5,9)

(5,1)

Answer 1

Let x = number of chemistry sets and y = number of robotics kits. The cost equation is 8x + 10y = 50.

Check each pair (x,y):
- (0,5): 8(0) + 10(5) = 50 → valid
- (3,2.6): 8(3) + 10(2.6) = 50 but y is not a whole number → not viable
- (-5,9): x is negative → not viable
- (5,1): 8(5) + 10(1) = 50 → valid

So the viable integer solutions from the choices are (0,5) and (5,1).