Matthew bought 4 new compact discs at $16.99 each and a carrying case for $35.89. He paid % sales tax on his purchases. If Matthew paid $112.42 total, determine if he paid the correct amount.

Yes, he paid the correct amount

Total Expected Payment = 103.85 + 8.57 = $112.42

Explanation:

Matthew bought 4 new compact discs at $16.99 each and a carrying case for $35.89. He paid 8 1/4% sales tax on his purchases. If Matthew paid $112.42 total, determine if he paid the correct amount.

Total Purchase cost is ($16.99 x 4) + $35.89 = $103.85

8.25% of  $103.85 = $8.57

Total Expected Payment = 103.85 + 8.57 = $112.42

This question isn't complete. Below is the complete question with all the necessary information therein:

Matthew bought 4 new compact discs at $16.99 each and a carrying case for $35.89. He paid 8 1/4% sales tax on his purchases. If Matthew paid $112.42 total, determine if he paid the correct amount.

a. Matthew paid $0.15 too little for his purchases.

b. Matthew paid $0.16 too much for his purchases.

c. Matthew paid $0.05 too much for his purchases.

d. Matthew paid the correct amount for his purchases.

Option D - Matthew paid the CORRECT AMOUNT FOR HIS PURCHASES.

Explanation:

Extracting vital information from the question :

***Mattew purchased 4 new compact discs at $16.99 each

*** He also purchased the carrying case for $35.89

*** He later paid 8 1/4% sales tax on the items he bought.

***He paid $112.42 in total.

Now, we are to determine if this amount paid is the correct amount that he should pay.

Calculating the total amount that Matthew spent on discs purchase alone, we will multiply the 4 compact discs he bought by the cost of a single disc:

4 discs × $16.99

= $67.96

Therefore Matthew spent a total of $67.96 on the discs.

The next step is to add the amount that he spent on the carrying case to this figure:

= $67.96 + $33.89

= $103.85

So Matthew spent a total of $103.85 on his purchases.

Again, if he must pay a tax of 8 1/4% on his purchases, then he should pay:

(8 1/4)/100 × 103.85

[(33/4)×100] × 103.85

(33/4) × (1/100) × 103.85

=33/400 × 103.85

= 3427.05/400

= $ 8.57

This is the amount he is supposed to pay as tax on his purchases.

Therefore adding this amount paid on tax to the total cost of his purchases:

$103.85 + $8.57

= $112.42

So if he paid a total of $112.42 for the products he purchased (tax inclusive) then he paid the right amount.