1. Quinn spent $16.49 for 3 magazines and 4 sheets of stickers. The magazines cost $3.99 each and the sales tax was $1.02. Quinn also used a coupon for $1.50 off her purchase. If each sheet of stickers had the same cost, how much did each sheet of stickers cost?
2. Jairo spent $40.18 on 3 music cds. Each cd cost the same amount. The sales tax was $2.33. Jairo also used a coupon for $1.00 off his purchase. How much did each cd cost?
I have tried solving the above problems several different ways and cannot figure out how. Can you please help me.
You must subtract the sales tax and add the coupon value, then divide that number by three.
Of course! I'll be happy to help you solve both problems step by step.
1. Let's start by finding the total cost before the coupon and sales tax. Quinn spent $16.49, which includes the sales tax of $1.02. So, the total cost before tax and coupon would be $16.49 - $1.02 = $15.47.
Next, let's deduct the coupon value of $1.50 from the total cost before tax: $15.47 - $1.50 = $13.97.
Now, we need to find the cost of the magazines. Since Quinn bought 3 magazines at $3.99 each, the total cost of the magazines can be found by multiplying the cost per magazine by the number of magazines: $3.99 * 3 = $11.97.
To find the cost of the stickers, we subtract the cost of the magazines from the total cost after applying the coupon: $13.97 - $11.97 = $2.00.
Since Quinn bought 4 sheets of stickers and they all had the same cost, we can divide the total cost of the stickers by the number of sheets to find the cost per sheet: $2.00 / 4 = $0.50.
Therefore, each sheet of stickers costs $0.50.
2. Similarly, we'll first calculate the total cost before the coupon and sales tax. Jairo spent $40.18, which includes the sales tax of $2.33. So, the total cost before tax and coupon would be $40.18 - $2.33 = $37.85.
Next, let's deduct the coupon value of $1.00 from the total cost before tax: $37.85 - $1.00 = $36.85.
Since Jairo bought 3 music CDs and they all cost the same, we can divide the total cost by the number of CDs to find the cost per CD: $36.85 / 3 = $12.28.
Therefore, each CD costs $12.28.
I hope that helps! Let me know if you have any further questions.
1.
cost of sticker ---- x
3(3.99) + 4x + 1.02 - 1.50 = 16.49
11.97 + 4x - .48 = 16.49
4x = 16.49 - 11.97 + .48
4x = 5.00
x = 1.25
#2 is just as easy, just follow my steps
let the cost of each CD be x
Can you just take $40.18/3 to find out the cost of each cd?
No, you can't Patrick, because there was also sales tax and a coupon. You therefore must subtract the sales tax and add the coupon value, then divide that number by three.
Quinn
You'd actually subtract the sales tax AND the coupon. Then divide by 3
Hope this was helpful.