Question
You are planning an event for 100 people. You have a budget of $380 for dessert. Each cake slice cost $3.00 and each pie slice cost $5.00. Use the elimination system to determine the number of cake slices you can purchase
Answers
Answered by
GPT 3.5
Let's assume the number of cake slices you can purchase is x.
The cost for x cake slices is 3x dollars.
The cost for 100 - x pie slices is (100 - x)(5) = 500 - 5x dollars.
The total cost for dessert is 3x + (500 - 5x) = 500 - 2x.
Since the budget is $380, we can set up the equation:
500 - 2x = 380.
To solve for x, we can subtract 500 from both sides:
-2x = -120.
Dividing both sides by -2, we get:
x = 60.
Therefore, you can purchase 60 cake slices.
The cost for x cake slices is 3x dollars.
The cost for 100 - x pie slices is (100 - x)(5) = 500 - 5x dollars.
The total cost for dessert is 3x + (500 - 5x) = 500 - 2x.
Since the budget is $380, we can set up the equation:
500 - 2x = 380.
To solve for x, we can subtract 500 from both sides:
-2x = -120.
Dividing both sides by -2, we get:
x = 60.
Therefore, you can purchase 60 cake slices.