SOLUTION: I would like to explain and solve the math word problem. "John and a friend went to a restaurant. John paid the for the food and he also gave the cashier an additional 10% of

Algebra ->  Expressions -> SOLUTION: I would like to explain and solve the math word problem. "John and a friend went to a restaurant. John paid the for the food and he also gave the cashier an additional 10% of       Log On


   



Question 1207637: I would like to explain and solve the math word problem.
"John and a friend went to a restaurant. John paid the for
the food and he also gave the cashier an additional 10% of
the food bill that he paid. The total amount he paid for
the restaurant bill (including the 10%) was $44.00. How much
money did he pay for the food, and what was the amount of money
that represented the 10% of the money that he paid?"

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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I would like to explain and solve the math word problem.
"John and a friend went to a restaurant. John paid the for
the food and he also gave the cashier an additional 10% of
the food bill that he paid. The total amount he paid for
the restaurant bill (including the 10%) was $44.00. How much
money did he pay for the food, and what was the amount of money
that represented the 10% of the money that he paid?"
~~~~~~~~~~~~~~

Let x be the amount John paid for the food.

Then the additional amount of 10%, which John paid, is 0.1x.


The total John paid was x + 0.1x = 1.1x.


We are given that the total is $44.


It gives us this equation

    1.1x = 44  dollars.


Divide both sides by 1.1 and get x

    x = 44%2F1.1 = 40.


Thus John paid for food $40.


The additional amount John paid was 0.1*40 = 4 dollars.

Solved in full, with complete explanations.