SOLUTION: Craig has 7 times as many baseball cards as Juan. If Craig gives 18 baseball cards to Juan, the two children will have exactly the same amount. How many baseball cards do they have

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Question 1189680: Craig has 7 times as many baseball cards as Juan. If Craig gives 18 baseball cards to Juan, the two children will have exactly the same amount. How many baseball cards do they have altogether?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Craig has 7 times as many baseball cards as Juan.
If Craig gives 18 baseball cards to Juan, the two children will have exactly the same amount.
How many baseball cards do they have altogether?
~~~~~~~~~~~~~~ 

 x = # of Juan's cards;

7x = # of Craig cards.


Equation

    7x - 18 = x + 18


Solution

    7x - x = 18 + 18

      6x   = 36

       x   = 36/6 = 6.


ANSWER.  Altogether, they have x + 7x = 8x = 6*8 = 48 cards.

Solved.



Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Always be open to trying different ways to solve problems. The solution method shown by the other tutor is fine; here is a different one.

Let x be the number of cards each of them FINISHED with.

Then, since Craig had given 18 cards to Juan,

x+18 = number Craig started with
x-18 = number Juan started with

The number Craig started with was 7 times the number Juan started with:

x%2B18=7%28x-18%29
x%2B18=7x-126
144=6x
x=24

The total number of cards the two of them have is 2x=48.

ANSWER: 48 cards altogether