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? choose only 1 answer (1 point)

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? choose only 1 answer (1 point)
Responses

(−5,9)
left parenthesis negative 5 comma 9 right parenthesis

(0,5)
left parenthesis 0 comma 5 right parenthesis

(3,2.6)
left parenthesis 3 comma 2.6 right parenthesis

(5,1)

GPT-4o mini · Answer

To find a viable solution for the number of robotics kits (y) and chemistry sets (x) that Cindy can purchase with her $50 winnings, we can set up the equation based on the costs:

\[ 10y + 8x = 50 \]

Now let's evaluate each of the provided options to see which ones satisfy the equation:

For $(-5, 9)$: \[ 10(-5) + 8(9) = -50 + 72 = 22 \quad \text{(not equal to 50)} \]
For $(0, 5)$: \[ 10(0) + 8(5) = 0 + 40 = 40 \quad \text{(not equal to 50)} \]
For $(3, 2.6)$: \[ 10(3) + 8(2.6) = 30 + 20.8 = 50.8 \quad \text{(not equal to 50)} \]
For $(5, 1)$: \[ 10(5) + 8(1) = 50 + 8 = 58 \quad \text{(not equal to 50)} \]

None of the provided options are correct based on the spending equation $10y + 8x = 50$. Please verify if there was an error in the question or if more options are available, as none of them yield valid solutions within the constraints of the problem.