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Jerome purchased four more apples than oranges. Apples cost 30 cents each and oranges cost 50 cents each. Jerome spent a total of $3.60. Write an equation to find how many oranges he purchased.

A) 4x - 30y = 360
B) 30x - 50y = 4
C) 50x - 30y = 360
D) 30x - 4y = 50

1 Answer

5 votes

Final answer:

To determine the number of oranges Jerome bought, an equation was made using the prices and his total spending. By solving it, we found out that Jerome purchased 3 oranges. The provided options did not match this equation.

Step-by-step explanation:

To find out how many oranges Jerome purchased, we first need to set up an equation with the given information. Jerome bought four more apples than oranges. If we let the number of oranges be x, then the number of apples is x + 4. Given that apples cost 30 cents each and oranges cost 50 cents each, and that Jerome spent a total of $3.60 (or 360 cents), we can write the equation:

30(x + 4) + 50x = 360

This simplifies to:

30x + 120 + 50x = 360

Combining like terms gives us:

80x + 120 = 360

Subtracting 120 from both sides:

80x = 240

Now, divide both sides by 80 to find the number of oranges:

x = 240 / 80

x = 3

So, Jerome purchased 3 oranges. None of the provided options exactly match our equation, but the process of setting up an equation and solving it provides the answer.

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