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
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.