You are planning an event for 100 people. You have a budget of $380 for dessert. Each slice of cake costs $3.00 and each slice of pie costs $5.00.
Write a system of equations to determine the number of slices of cake and pie you can buy.
O x - 3y = 380
x + 5y = 100
O x + y = 100
3x + 5y = 380
O x - y = 380
3x + 5y = 100
O 3x + 5y = 100
x + y = 380
use elimination method to determine the number of cal slices you can purchase.
3x + 5y = 100
x + y = 380
To use the elimination method, we can multiply the second equation by -3:
-3(x + y) = -3(380)
-3x - 3y = -1140
Now, we can add the two equations together to eliminate the x variable:
3x + 5y - 3x - 3y = 100 - 1140
2y = -1040
Dividing both sides of the equation by 2, we get:
y = -520
The negative value for y doesn't make sense in this context, so there was likely an error in the equations or in the problem statement. Please double-check your information and restate the problem if necessary.