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) Responses (3,2.6) left parenthesis 3 comma 2.6 right parenthesis (−5,9) left parenthesis negative 5 comma 9 right parenthesis (5,1) left parenthesis 5 comma 1 right parenthesis (0,5)
To find the viable solution for the number of robotics kits (y) and chemistry sets (x) Cindy can purchase, we need to consider that she spent her entire winnings, which is $50.00. Each robotics kit costs $10.00 and each chemistry set costs $8.00.
Based on this information, we can set up the following equation:
10y + 8x = 50
To find the viable solution, we can substitute different values for y and x and check if they satisfy the equation. Let's check the options provided:
Option 1: (3,2.6)
Plugging in the values into the equation, we get:
10(3) + 8(2.6) = 30 + 20.8 = 50.8 != 50
Option 2: (-5,9)
Plugging in the values into the equation, we get:
10(-5) + 8(9) = -50 + 72 = 22 != 50
Option 3: (5,1)
Plugging in the values into the equation, we get:
10(5) + 8(1) = 50 + 8 = 58 != 50
Option 4: (0,5)
Plugging in the values into the equation, we get:
10(0) + 8(5) = 0 + 40 = 40 != 50
None of the given options satisfy the equation, which means there is no viable solution presented.