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.

Question

Mathematics

Paxton Fowler

27 May, 09:44

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.

+3

Answers (1)

Know the Answer?

Clark Vazquez · 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).