Situation: You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much will you save?
Calculation With Distribution Calculation Without Distribution
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actually can someone help me with how to do it with distribution
either figure the savings on each book and add up the savings, or
figure the total price of the books, then discount the lot:
0.20 (2.50 + 4.95 + 6.00)
To calculate the total amount you will save, you can use the distribution method or the method without distribution.
Method 1: Calculation with Distribution
To calculate the savings for each book individually, you need to apply the 20% discount to each book's original price.
For the first book priced at $2.50:
Savings on the first book = $2.50 * 20% = $0.50
For the second book priced at $4.95:
Savings on the second book = $4.95 * 20% = $0.99
For the third book priced at $6.00:
Savings on the third book = $6.00 * 20% = $1.20
Now, you can add up the savings for all three books:
Total savings = $0.50 + $0.99 + $1.20 = $2.69
So, you will save a total of $2.69.
Method 2: Calculation without Distribution
To calculate the total savings without using distribution, you can find the average discount percentage by taking the sum of the original prices and applying the 20% discount to it.
Total original price = $2.50 + $4.95 + $6.00 = $13.45
Savings for the total purchase = $13.45 * 20% = $2.69
Therefore, you will save a total of $2.69.
Both methods yield the same result, but the distribution method breaks down the savings for each book individually, while the method without distribution gives the total savings for the whole purchase.