Question

The Changs updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 6 3/5 sales tax on their purchases. If the Changs paid $351.72 total, determine if they paid the correct amount.

a. The Changs family paid $0.33 too much for their purchases.


b. The Changs family paid $0.99 too much for their purchases.


c. The Changs family paid $5.94 too much for their purchases.


d. The Changs family paid the correct amount for their purchases.

Answer 1

The Changs family paid the correct amount for their purchases.

Step-by-step explanation:

Given : The Changs updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99.

They paid 6 3/5 % sales tax on their purchases.

To Find: If the Changs paid $351.72 total, determine if they paid the correct amount.

Solution:

Cost of lamp = $89.95

Cost of comforter set = $239.99

Total cost = $89.95+$239.=$329.94

Now They paid
`6(3)/(5) \%` sales tax on their purchases.

So, Total cost including Sale tax =
`(33)/(500) * 329.94+329.94`

=
`351.72`

We are given that the Changs paid $351.72 total

So, Option D is correct.

The Changs family paid the correct amount for their purchases.

Answer 2

Answer: d. The Changs family paid the correct amount for their purchases.

Step-by-step explanation:

The amount spent by the Changs family before taxes is:

89.95 + 239.99 = 329.94$

In order to calculate the taxes, we need to transform the mixed number into improper fraction:

`6 (3)/(5) = (6 \cdot 5)/(5) + (3)/(5) = (33)/(5)`

This is actually a percentage, therefore the taxes paid by the Changs family are:

`329.94 \cdot ((33)/(5) \cdot (1)/(100)) = 21.78 \$`

Hence, we can calculate how much the Changs family should have paid:

329.94 + 21.78 = 351.72$

Since the problem states that they paid 351.72$, we can state that they paid the correct amount for their purchases.