A big sale is happening today at the Newton Shoe Store. You buy two pair od running shoes. The first pair is $64, which is 20% off the original price. The second pair os $72, which is 40% off the original price. what is the persent of discount on the Combined purchase os the two pairs of shoes? (assuming no sales tax is involved)

Question

A big sale is happening today at the Newton Shoe Store. You buy two pair od running shoes. The first pair is $64, which is 20% off the original price. The second pair os $72, which is 40% off the original price. what is the persent of discount on the Combined purchase os the two pairs of shoes? (assuming no sales tax is involved)

I know that you have to find the original prices of the shoes, then, add that together, then add the percents together, and find the total percent, correct?
I don't know how to get to the original price, or how to find the end percent. Can anyone help?
Thanks!

Answer 1

To find the original price:

Since the price for the first pair is 20% off the original price, you're actually paying 80% of the original price.

0.8x = 64
x = 64/0.8
x = 80

Using the same method, find the original price of the second pair.

We'll be glad to check your answer.

Answer 2

would the second pair be $120?

then you add those together, and that equals $200.

Here's were I'm stuck.
Would you make the $200 a percent then subtract it by the sum of the 80% and 60%? your answer would be 50%.

Answer 3

Yes. The original price of the second pair was $120 -- so the two pairs of shoes together would have cost $200.

But you paid only paid $136 for the twopairs.

To find the percent of discount for both pairs:

$200 - 136 = $64

64/200 = .32 = 32%

Answer 4

Oh THANK YOU!!! i've benn so confused!

Answer 5

Yes, you're correct that to find the percentage discount on the combined purchase of the two pairs of shoes, you need to find the original prices of each pair of shoes and then calculate the overall discount percentage.

Let's start by finding the original prices of the shoes.

For the first pair of shoes:
You know that the discounted price is $64, and it represents 20% off the original price. To find the original price, you need to divide $64 by 0.8 (1 - 0.2) because the discounted price is 80% (100% - 20%) of the original price.
Original price of the first pair = $64 / 0.8 = $80

For the second pair of shoes:
The discounted price is $72, representing 40% off the original price. So, you can apply the same calculation as before.
Original price of the second pair = $72 / 0.6 (1 - 0.4) = $120

Now that you have the original prices of both pairs of shoes, you can find the total cost of the combined purchase by adding them together:
Total cost of the two pairs of shoes = $80 + $120 = $200

To find the overall discount percentage, you need to consider the total discount amount compared to the total original price. Since you bought two pairs with different discounts, you'll need to calculate the weighted average of the discount percentages.

For the first pair:
Discount percentage of the first pair = (Original price of the first pair - Discounted price of the first pair) / Original price of the first pair * 100
= ($80 - $64) / $80 * 100 = 20%

For the second pair:
Discount percentage of the second pair = (Original price of the second pair - Discounted price of the second pair) / Original price of the second pair * 100
= ($120 - $72) / $120 * 100 = 40%

Since the two pairs have equal weight (one each), you can calculate the overall discount percentage by taking the average of the individual discount percentages:
Overall discount percentage = (Discount percentage of the first pair + Discount percentage of the second pair) / 2
= (20% + 40%) / 2 = 30%

Therefore, the discount on the combined purchase of the two pairs of shoes is 30%.