Question

Write a system of equations to represent each problem 1. The high school marching band is selling fruit baskets as a fundraiser. They sell a largebasket containing 10 apples and 15 oranges for $20. They sell a small basket containing 5apples and 6 oranges for $8.50. How much is the marching band charging for each appleand each orange?

Answer 1

Let the cost of one apple be x

Let the cost of one orange be y

System of equations is

10x + 15y = 20

5x + 6y = 8.5

Cost of apple = $0.5

Cost of orange = $1

Step-by-step explanation

Let the cost of one apple be x

Let the cost of one orange be y

10 apples and 15 oranges cost $20.

10x + 15y = 20

5 apples and 6 oranges cost $8.50

5x + 6y = 8.5

We can now write the two equations together

10x + 15y = 20

5x + 6y = 8.5

Solving this system of equations,

x = 0.5

y = 1

Hope this Helps!!!