Question

9. Darcy is buying apples and oranges for a large fruit basket to give away as a door prize at a charity event. Apples cost $0.24 each and oranges cost $0.80 each. She has $12 to spend and would like to purchase at least 20 pieces of fruit total.

a) Write a system of linear inequalities to represent
this situation, then graph.
b) Using your graph, give two possible combinations
of apples and oranges Darcy can buy.

Answer 1

Assume that the number of apples is x and the number of oranges is y.

For the first given, we know that each apple costs $0.24 and each orange costs $0.8, therefore:
amount paid for apples = 0.24x and amount paid for oranges = 0.8y
we also know that the total amount spent is $12, therefore the first equation is as follows:
0.24x + 0.8y = 12

For the second given, we know that the total number of fruit bought is 20, therefore, the second equation is:
x + y = 20

You can easily graph these two functions and find a possible combination from the graph (the correct combination would be the intersection between the two lines).