Cindy won $50 She spent her earnings on robotics kits and chemistry sets. Each robotics kit (y) cost $10 and each chemistry set cost)8 (x) which is a viable solution to the number of robotics and chemistry sets she can purchase if she spends her entire winnings

Question

(3,2.6)
(5,1)
(0,5)
(-5,9)

Answer 1

To determine which option represents a viable solution for the number of robotics kits (y) and chemistry sets (x) Cindy can buy with her $50, we can set up the equation based on her earnings:

The total cost for robotics kits and chemistry sets can be represented by the equation: \[ 10y + 8x = 50 \]

Now let's check each option to see if it satisfies this equation:

1. Option (3, 2.6): \[ 10(3) + 8(2.6) = 30 + 20.8 = 50.8 \quad \text{(Not valid, exceeds $50)} \]

2. Option (5, 1): \[ 10(5) + 8(1) = 50 + 8 = 58 \quad \text{(Not valid, exceeds $50)} \]

3. Option (0, 5): \[ 10(0) + 8(5) = 0 + 40 = 40 \quad \text{(Valid, under $50)} \]

4. Option (-5, 9): \[ 10(-5) + 8(9) = -50 + 72 = 22 \quad \text{(Not valid, negative robotics kits)} \]

The only viable solution from the given options is:

• (0, 5)

This means Cindy can buy 0 robotics kits and 5 chemistry sets, spending a total of $40.