Question

The Long family spent $38.62 for school supplies and $215.78 for new school clothes. They paid sales tax on their purchases. If the Long family paid $269.07 total, determine if they paid the correct amount.
A. The Long family paid $2.63 too little for their purchases.

B. The Long family paid the correct amount for their purchases.

C. The Long family paid $1.61 too much for their purchases.

D. The Long family paid $2.63 too much for their purchases.

Answer 1

Answer:

A. The Long family paid $2.63 too little for their purchases.

Step-by-step explanation:

We have been given that the Long family spent $38.62 for school supplies and $215.78 for new school clothes. They paid 6.8% sales tax on their purchases.

First of all, we will add both amounts as:

$\ 38.62+ 215.78=\ 254.40$

Now, we will find 6.8% of 254.40.

$\text{Amount of tax paid}=\ 254.40\times \frac{6.8}{100}$

$\text{Amount of tax paid}=\ 254.40\times0.068$

$\text{Amount of tax paid}=\ 17.2992$

Upon adding $254.40 and $17.2992, we will get total amount paid by Long family.

$\text{Total amount paid by Long family}=\ 254.40+\ 17.2992$

$\text{Total amount paid by Long family}=\ 271.6992$

Now, we will subtract $271.6992 from $269.07:

$\ 269.07-\ 271.6992$

$-\ 2.6292\approx -\ 2.63$

Since the long family paid $2.63 less than actual amount, therefore, the Long family paid $2.63 too little for their purchases and option A is the correct choice.