Question

Five friends ate lunch together. They each paid the same amount the total cost of all five meals was $51.94 which included a 6% sales tax, what was the cost of one meal before tax was added?

Answer 1

Given:

Total number of friends = 5

Total cost of all five meals = $51.94

Sales tax = 6%

To find:

The cost of one meal before tax was added.

Solution:

Let x be the cost of all five meals before tax.

Then, Amount of tax = 6% of x

According to he question,

`x+(6)/(100)x=51.94`

`x+0.06x=51.94`

`1.06x=51.94`

Divide both sides by 51.94.

`x=(51.94)/(1.06)`

`x=49`

So, the cost of all five meals before tax is $49.

Divide this cost by 5 to get the cost of one meal before tax was added.

`(49)/(5)=9.8`

Therefore, the cost of one meal before tax was added, is $9.8.