SOLUTION: Judy and Tom agreed to share the cost of an $18 pizza based on how much each ate. If Tom ate 2/3 the amount that Judy ate, how much should each pay? HINT GIVEN IN THE TEXTBOOK:

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Question 1208716: Judy and Tom agreed to share the cost of an $18 pizza based on how much each ate. If Tom ate 2/3 the amount that Judy ate, how much should each pay?
HINT GIVEN IN THE TEXTBOOK:
[ Some pizza may be left over.]
This hint tells me nothing.
Let me see.
The cost of the pizza is $18.
Judy ate x part of the pizza.
Tom ate (2/3)x part of the pizza.
My equation is (2/3)x + x = 18.
You say?
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

Your setup equation is correct.

Wording is not perfect and can confuse you. 
    The cost of the pizza is $18.
    Judy ate x part of the pizza.
    Tom ate (2/3)x part of the pizza.
    An equation is (2/3)x + x = 18.

To de-confuse, I would use another wording. 
    The cost of the pizza is $18.
    Judy ates   x    part of the pizza  and  pays   x    part of $18.
    Tom  ates (2/3)x part of the pizza  and  pays (2/3)x part of $18.
    The money equation is (2/3)x + x = 18  dollars.


Now, to complete the solution, you should solve the equation
and find the values x and 2x in dollars and cents.

Boldly go forward.


Ignore their hint - it is IRRELEVANT to the problem and to the solution.


By the way, what is the name and who is the author of this textbook you refer on?



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