A fruit seller has an equal number of apples and oranges.He sold 109 oranges and 45 apples.The number of apples left is 5 times the number of oranges left.What is the total number of fruit he had at first?

Question

A fruit seller has an equal number of apples and oranges.He sold 109 oranges and 45 apples.The number of apples left is 5 times the number of oranges left.What is the total number of fruit he had at first?

Answer 1

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Answer 2

Let the number of oranges and apples be x each

oranges left after selling: x - 109
apples left after selling : x-4

x-45 = 5(x-109)
x - 45 = 5x = -545
-4x = -500
x = 125

He had 125 oranges and 145 apples

Check:
125-109 = 16
125-45 = 80
is 80 equal to 5 times 16 ? YES

Answer 3

Let's solve this step by step.

1. Let's assume that the initial number of apples and oranges the fruit seller had was x.
2. Since the fruit seller has an equal number of apples and oranges, the initial number of both fruits would be x each.
3. The fruit seller sold 109 oranges, so the number of oranges left would be x - 109.
4. The fruit seller sold 45 apples, so the number of apples left would be x - 45.
5. According to the problem, the number of apples left is 5 times the number of oranges left. Therefore, we can write the equation: x - 45 = 5(x - 109).
6. Let's solve the equation now.
x - 45 = 5x - 545 (distribute 5 inside the parentheses)
4x = 500 (subtract x and add 545 to both sides)
x = 125 (divide both sides by 4)
7. So the initial number of apples and oranges the fruit seller had is 125 each.
8. Therefore, the total number of fruit the fruit seller had at first is 125 apples + 125 oranges = 250.

So, the fruit seller had a total of 250 fruit at first.

Answer 4

To find the total number of fruit the seller had at first, let's break down the information given in the problem.

Let's assume that the initial number of apples and oranges the seller had is x.

According to the problem, the seller sold 109 oranges and 45 apples, which means he now has x - 109 oranges and x - 45 apples.

The problem also states that the number of apples left is 5 times the number of oranges left. So we can form an equation:

x - 45 = 5 * (x - 109)

Simplifying the equation:

x - 45 = 5x - 545

Subtracting x from both sides:

-45 = 4x - 545

Adding 545 to both sides:

500 = 4x

Dividing both sides by 4:

x = 125

Therefore, the seller had a total of 125 apples and 125 oranges at first.