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 cost 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?
Answers
GPT 3.5
Let's assume Cindy buys "y" robotics kits and "x" chemistry sets.
The cost of each robotics kit is $10.00, so the total cost of the robotics kits is y * $10.
The cost of each chemistry set is $8.00, so the total cost of the chemistry sets is x * $8.
Since Cindy spent her entire winnings of $50, we can write the equation:
y * $10 + x * $8 = $50
To find a viable solution, we can substitute different values for y and x until we find a combination that satisfies the equation. Here are a few possible solutions:
1. y = 3, x = 2
In this case, 3 robotics kits cost $30 (3 * $10), and 2 chemistry sets cost $16 (2 * $8). The total cost is $30 + $16 = $46.
2. y = 1, x = 5
In this case, 1 robotics kit costs $10 (1 * $10), and 5 chemistry sets cost $40 (5 * $8). The total cost is $10 + $40 = $50.
3. y = 2, x = 4
In this case, 2 robotics kits cost $20 (2 * $10), and 4 chemistry sets cost $32 (4 * $8). The total cost is $20 + $32 = $52, which exceeds Cindy's winnings of $50, so it is not a viable solution.
Therefore, a viable solution is y = 1 (1 robotics kit) and x = 5 (5 chemistry sets). Cindy can purchase 1 robotics kit and 5 chemistry sets using her entire winnings.
The cost of each robotics kit is $10.00, so the total cost of the robotics kits is y * $10.
The cost of each chemistry set is $8.00, so the total cost of the chemistry sets is x * $8.
Since Cindy spent her entire winnings of $50, we can write the equation:
y * $10 + x * $8 = $50
To find a viable solution, we can substitute different values for y and x until we find a combination that satisfies the equation. Here are a few possible solutions:
1. y = 3, x = 2
In this case, 3 robotics kits cost $30 (3 * $10), and 2 chemistry sets cost $16 (2 * $8). The total cost is $30 + $16 = $46.
2. y = 1, x = 5
In this case, 1 robotics kit costs $10 (1 * $10), and 5 chemistry sets cost $40 (5 * $8). The total cost is $10 + $40 = $50.
3. y = 2, x = 4
In this case, 2 robotics kits cost $20 (2 * $10), and 4 chemistry sets cost $32 (4 * $8). The total cost is $20 + $32 = $52, which exceeds Cindy's winnings of $50, so it is not a viable solution.
Therefore, a viable solution is y = 1 (1 robotics kit) and x = 5 (5 chemistry sets). Cindy can purchase 1 robotics kit and 5 chemistry sets using her entire winnings.