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.
Answer: 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.
