Question

At a local grocery store, each apple cost $1.89 and each orange cost $2.59. A total of 35 apples and oranges were purchased for a total of $79.95. Let x= number of apples and y=number of oranges. Write a system of linear equations that model the given information. Solve the system to determine the number of apples and oranges that were purchased.

Answer 1

x+y=35

1.89x+2.59y=79.95

y=35-x (and now we put this instead of 'y' in the second equation)

1.89x+2.59(35-x)=79.95 (now we solve this equation)

1.89x+90.65-2.59x=79.95

0.7x=10.7

x=15

y=35-15=20

ANSWER:

15 apples

20 oranges