Emma spent $10.53 for 2 cupcakes and 4 cookies. The cupcakes cost $2.20 each. The sales tax on the total purchase was $0.63. Emma also used a coupon for $0.50 off of her purchase. Of each cookie had the same cost, how much did each cookie cost?
$10.53 total cost
- 4.40 cost of cupcakes; 2 x 2.20 each = $ 4.40
- 0.63 tax
- 0.50 coupon
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$5.00 cost of 4 cookies so each cookie cost 5.00/4 = ? each
To find out how much each cookie cost, we need to subtract the cost of the cupcakes from the total cost of the purchase and then divide the remaining amount by the number of cookies.
The cost of the cupcakes is $2.20 each, and Emma bought 2 cupcakes, so the total cost of the cupcakes is 2 * $2.20 = $<<2*2.20=4.40>>4.40.
The total cost of the purchase was $10.53, and Emma used a $0.50 coupon, so the final cost before applying the coupon is $10.53 - $0.50 = $<<10.53-0.50=10.03>>10.03.
The sales tax on the total purchase was $0.63, so the original total cost without sales tax was $10.03 - $0.63 = $<<10.03-0.63=9.40>>9.40.
To find the cost of each cookie, we need to subtract the cost of the cupcakes from the total cost and then divide by the number of cookies.
There were 4 cookies, so the cost of each cookie is ($9.40 - $4.40) / 4 = $<<9.40-4.40=5.00/4=1.25>>1.25.
Therefore, each cookie costs $1.25.
To find out the cost of each cookie, we first need to determine the total cost of the cupcakes and cookies without the sales tax and coupon.
1. The total cost of the cupcakes is given as $10.53, and we know that Emma bought 2 cupcakes.
So, the cost of each cupcake can be calculated by dividing the total cost by the number of cupcakes:
Cost of each cupcake = Total cost / Number of cupcakes
= $10.53 / 2
= $5.265
2. The sales tax on the total purchase was $0.63, which means the total cost before tax including the cupcakes and cookies was:
Total cost before tax = Total cost + Sales tax
= $10.53 + $0.63
= $11.16
3. Emma used a coupon for $0.50 off her purchase, so the total cost after applying the coupon is:
Total cost after coupon = Total cost before tax - Coupon amount
= $11.16 - $0.50
= $10.66
4. Now, we need to subtract the cost of the cupcakes from the total cost after the coupon to get the cost of the cookies.
Cost of the cookies = Total cost after coupon - Cost of cupcakes
= $10.66 - $5.265
= $5.395
5. Since all the cookies have the same cost, we can divide the total cost of the cookies by the number of cookies to find the cost of each cookie.
Cost of each cookie = Cost of the cookies / Number of cookies
= $5.395 / 4
≈ $1.35
Therefore, each cookie cost approximately $1.35.