On Friday, a fruit stand sold a total of 92 apples and oranges. On Saturday, the fruit stand sold four times the number of apples and two times the number of oranges. A total of 284 apples and oranges were sold on Saturday. Which system of equations yields the number of apples, a, and oranges, o, sold on Friday?

Question

Tyrese Bradford

Mathematics

10 September, 07:33

On Friday, a fruit stand sold a total of 92 apples and oranges. On Saturday, the fruit stand sold four times the number of apples and two times the number of oranges. A total of 284 apples and oranges were sold on Saturday. Which system of equations yields the number of apples, a, and oranges, o, sold on Friday?

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Answers (1)

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Alexandria · Answer 1

50 apples, 42 oranges

Step-by-step explanation:

apples = a

oranges = o

Set up equations.

a + o = 92

4a + 2o = 284

Multiply first equation by 2 and subtract.

2a + 2o = 184

- (4a + 2o = 284)

-2a = - 100

a = 50

Now substitute the a value into any equation.

a + o = 92

50 + o = 92

o = 42