You are planning an event for 100 people you have a budget of $380 per dessert. Each slice of cake cost three dollars and each slice of pie cost five dollars write a system of equations to determine the number of slices of cake and pie you can buy.

Answer 1

Let x be the number of slices of cake.
Let y be the number of slices of pie.

Since each slice of cake costs $3 and each slice of pie costs $5, we can write the following equation based on the given budget:

3x + 5y = 380

We also know that the total number of slices of cake and pie combined should be 100:

x + y = 100

Therefore, the system of equations is:

3x + 5y = 380
x + y = 100