Mr.Santiago brought 10 crates of oranges. There were 50 oranges in each crates. He sold 65% of them. 8% of the remainder went bad, and he threw them away.

A) How much money did Mr.Santiago earn if he sold the oranges 5 for $1.20
B) If he made $24.15 by selling the rest of the oranges,how much did he charge for each orange?

500 oranges total

sold .65*500 = 325, leaving 175
8% of 175 = 14 went bad

sold 325 * 1.20/5 = $78.00

(175-14)p = 24.15
p = $.15 each

A) To find out how many oranges Mr. Santiago sold, we need to calculate 65% of the total number of oranges.

Total oranges = 10 crates * 50 oranges per crate
Total oranges = 500 oranges

Sold oranges = 65% of total oranges
Sold oranges = 0.65 * 500 oranges
Sold oranges = 325 oranges

To calculate the amount of money Mr. Santiago earned from selling the oranges, we need to divide the number of oranges by the number of oranges per dollar.

Money earned = Sold oranges / 5 oranges per $1.20
Money earned = 325 oranges / 5 oranges per $1.20
Money earned = 65 sets of 5 oranges / 5 oranges per $1.20
Money earned = 65 sets of $1.20
Money earned = $78

Therefore, Mr. Santiago earned $78 by selling the oranges.

B) To calculate the number of oranges that Mr. Santiago made $24.15 from, we need to subtract the oranges sold from the total oranges.

Oranges remainder = Total oranges - Sold oranges
Oranges remainder = 500 oranges - 325 oranges
Oranges remainder = 175 oranges

Since 8% of the remainder went bad, we calculate the number of oranges that went bad.

Oranges bad = 8% of Oranges remainder
Oranges bad = 8% of 175 oranges
Oranges bad = 0.08 * 175 oranges
Oranges bad = 14 oranges

Oranges sold = Oranges remainder - Oranges bad
Oranges sold = 175 oranges - 14 oranges
Oranges sold = 161 oranges

To calculate the price per orange, we divide the money earned by the number of oranges sold.

Price per orange = Money earned / Oranges sold
Price per orange = $24.15 / 161 oranges

To calculate it clearly, I'll give you the decimal answer.

Price per orange ≈ $0.1503

Therefore, Mr. Santiago charged approximately $0.1503 for each orange.

To find the answer to both parts of the question, we need to follow a step-by-step approach.

First, let's calculate the total number of oranges Mr. Santiago initially had:
Number of crates = 10
Oranges per crate = 50
Total oranges = 10 crates * 50 oranges/crate = 500 oranges

Next, let's calculate the number of oranges Mr. Santiago sold:
Percentage sold = 65%
Oranges sold = (Percentage sold/100) * Total oranges = (65/100) * 500 = 325 oranges

Now, let's calculate the number of remaining oranges after the sale:
Remaining oranges = Total oranges - Oranges sold = 500 - 325 = 175 oranges

Moving on to part A:
Mr. Santiago sold 325 oranges at a rate of 5 oranges for $1.20.
Price for 5 oranges = $1.20
Price for 1 orange = $1.20/5 = $0.24
Total money earned = Price per orange * Oranges sold = $0.24 * 325 = $78

Therefore, Mr. Santiago earned $78 by selling the oranges.

Now, let's move on to part B:
If he made $24.15 by selling the remaining oranges, we can find the price charged per orange following these steps:
Total money earned = $24.15
Price per orange = Total money earned / Remaining oranges = $24.15 / 175 = $0.138 (rounded to 3 decimal places)

Therefore, Mr. Santiago charged approximately $0.138 for each orange.

This problem has bee recycled several times.

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