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?
Let's assume Cindy can buy x chemistry sets and y robotics kits.
The cost of each chemistry set is $8.00, so the total cost of x chemistry sets is 8x.
The cost of each robotics kit is $10.00, so the total cost of y robotics kits is 10y.
Since Cindy spends all her winnings ($50.00), the total cost of the chemistry sets and robotics kits must be $50.00:
8x + 10y = 50
This equation represents all possible combinations of chemistry sets (x) and robotics kits (y) that Cindy can purchase with her winnings.