Aubrey found an awesome deal on a new backpack when she went back-to-school shopping. The backpack originally cost b dollars, but it was on sale for 75% off.
Pick all the expressions that represent the sale price of the backpack.
1 - 0.75b
75b
0.25b
b - 0.75b
When a backpack that originally costs b dollars is on sale for 75% off, that means that the buyer is paying 25% of the original price because 100% - 75% = 25%.
To find out how much 25% of b is, you can convert the percentage into a decimal and multiply:
25% of b = 0.25 * b = 0.25b
You can also calculate the sale price by subtracting 75% of the price from the original price:
b - 75% of b = b - 0.75 * b = b - 0.75b = (1 - 0.75)b = 0.25b
So, the correct expressions that represent the sale price of the backpack are:
1) 0.25b
and
4) b - 0.75b (which simplifies to 0.25b)
75b would be an incorrect expression because it would represent 75 times the cost of the backpack, not a 75% discount.
Therefore, the correct expressions representing the sale price are:
0.25b
b - 0.75b