Question

Jeff buys two pairs of shoes for $50 each. He can use the following coupons:

Coupon 1: Buy one get one 40% off

Coupon 2: 25% off the entire purchase

Which coupon should Jeff use for the better deal? How much will he save from the original price with this coupon?

Answer 1

Answer: Jeff should use coupon #2 ($25 off)

Explanation:

Coupon #1: The first step in figuring out how much money Jeff would save with coupon #1 is by multiplying $50 by 0.40 in order to find out the discount, which is $20. The next step is to subtract the discount from the original price to find out the discounted price, which is $30. However, this is only the price for one of the pairs of shoes. The final step is to add the $30 discounted pair with the $50 undiscounted pair.

This totals to $80.

`(50)(0.40)=20`

`50-20=30`

`30+50=80`

Coupon #2: The second coupon follows a very similar process. The first step is to add the two coupons together to find the price of the entire purchase, which is $100. The next step is to multiply the price by 0.25 to find the discount, which is $25. Next, subtract the discount of $25 from the original price to find the discounted price, which is $75.

This totals to $75.

`50+50=100`

`(100) (0.25)=25`

`100-25=75`

So, as you can see, the coupon that saves more money is coupon #2.

The amount of money that he will save from the original price is $25

Hope that this helps and is thorough enough!

Answer 2

Jeff should use coupon #2 for a better deal, as he will save $25 with this coupon.

Explanation:

First, we need to apply each respective coupon to the same purchase.

Coupon 1:

⭐How do you take 40% off of a number?

• let x = the number
• x - 0.4x

So if Jeff buys 1 pair of shoes for $50, the 2nd pair of shoes will only cost him 40% off of $50.

Let's calculate what 40% off of $50 is:

`x - 0.4x =`

`50 - 0.4(50) =`

`50 - 20 =`

`= 30`

Now, add the cost of 1 pair of shoes ($50) to the cost of 40% off of 1 pair of shoes ($30) to see how much Jeff will have to pay using coupon #1:

50 + 30 = $80

∴ Jeff will pay only $80 when purchasing with Coupon #1.

Coupon #2:

⭐How do you take 25% off of a number?

• let y = the number
• y - 0.25y

So if Jeff buys 2 pair of shoes for $100 (50*2), the total cost will only be 25% off of $100.

Let's calculate what 25% off of $100 is:

`y - 0.25y =`

`100 - 0.25(100) =`

`100 - 25 =`

`= 75`

∴ Jeff will pay only $75 when purchasing with Coupon #2.

75 is less than (<) 80.

Therefore, Coupon #2 gives Jeff a better deal.

If Jeff had bought the two pairs of shoes without any coupons, it would cost him $100.

To find how much Jeff is saving using Coupon #2, subtract how much Jeff spends using Coupon #2 from $100, the original price.

`savings = 100 - 75`

`savings = 25`

∴ Jeff saves $25 when purchasing with Coupon #2.