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 $0.2

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1 month ago

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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 $0.2

4 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.

Mathematics

1 answer:

Zina [12.3K] · Answer 1 · 2026-02-24T06:36:32+03:00

Let x represent the number of apples and y the number of oranges.

Starting with the first scenario, since each apple is priced at $0.24 and each orange at $0.80, we have:
total spent on apples = 0.24x and total spent on oranges = 0.8y
Given that the total expenditure is $12, the first equation is:
0.24x + 0.8y = 12

For the second scenario, the total number of pieces of fruit purchased is 20, thus the second equation is:
x + y = 20

By graphing these equations, one can identify a potential combination at the intersection of the two lines.