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
(0,5)
(3,2.6)
(5,1)
(−5,9)
To solve this problem, we can set up the equation:
10y + 8x = 50
Now let's plug in the answer choices to see which one satisfies the equation:
1) (0,5)
10(0) + 8(5) = 40
This answer does not satisfy the equation, so it is not a viable solution.
2) (3,2.6)
10(3) + 8(2.6) = 46
This answer does not satisfy the equation, so it is not a viable solution.
3) (5,1)
10(5) + 8(1) = 58
This answer does not satisfy the equation, so it is not a viable solution.
4) (-5,9)
10(-5) + 8(9) = -22
This answer does not satisfy the equation, so it is not a viable solution.
None of the given answer choices are viable solutions to the number of robotics kits and chemistry sets Cindy can purchase.
So then out of these which is correct
None of the given answer choices are correct.
Which one is correct
Unfortunately, based on the given answer choices, there is no correct solution provided. None of the options satisfy the equation and therefore none are viable solutions.
Wh8ch one comes closest to correct
Based on the equation 10y + 8x = 50, if we plug in the values from the answer choices, the closest solution is option (5, 1).
10(5) + 8(1) = 50
So, the closest solution is (5, 1).