What does it mean to calculate with distribution and without it.
this is my problem
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?
i already have the answer but i don't want to put it in the wrong box
help please!
distributive property
.8(2.5+4.95+6) can be distributed to
.8*2.5 +.8(4.95)+ .8(6)
ty
Calculating with distribution means applying a discount percentage individually to each book's original price and calculating the savings separately.
Calculating without distribution means applying the discount percentage to the total sum of the original prices and calculating the savings based on that.
To calculate with distribution:
1. Calculate the discount for each book individually:
- $2.50 * 20% = $0.50
- $4.95 * 20% = $0.99
- $6.00 * 20% = $1.20
2. Add up the savings from each book:
- $0.50 + $0.99 + $1.20 = $2.69
Therefore, you would save a total of $2.69.
To calculate without distribution:
1. Calculate the total sum of the original prices:
- $2.50 + $4.95 + $6.00 = $13.45
2. Calculate the discount on the total sum:
- $13.45 * 20% = $2.69
Therefore, the savings would still amount to $2.69.
Either way, the answer is the same: you will save $2.69.
To solve this problem, you need to calculate the discount for each book separately and then sum up the savings.
Let's start with calculating the discount for the first book, which has an original price of $2.50. To find the discount, multiply the original price by the discount percentage (20% expressed as a decimal).
Discount for the first book = $2.50 * 0.20 = $0.50
Now, repeat the same process for the second book, which has an original price of $4.95.
Discount for the second book = $4.95 * 0.20 = $0.99
Lastly, calculate the discount for the third book, which has an original price of $6.00.
Discount for the third book = $6.00 * 0.20 = $1.20
To find the total amount saved, add up all the individual discounts:
Total savings = $0.50 + $0.99 + $1.20 = $2.69
Therefore, the total amount you will save on the three books is $2.69.
Remember to double-check your calculations and ensure that the discount percentage is correctly applied to each book's original price.