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,
[tex]x+\dfrac{6}{100}x=51.94[/tex]
[tex]x+0.06x=51.94[/tex]
[tex]1.06x=51.94[/tex]
Divide both sides by 51.94.
[tex]x=\dfrac{51.94}{1.06}[/tex]
[tex]x=49[/tex]
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.
[tex]\dfrac{49}{5}=9.8[/tex]
Therefore, the cost of one meal before tax was added, is $9.8.