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# bob has three times as many baseball cards as bill. Together they have a total of 68 cards. how many cards does bob have?

I need help because algebra is hard lol

### 1 Answer by Expert Tutors

Farrooh F. | Professional Tutor of Physics and MathProfessional Tutor of Physics and Math
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Let us denote the number of cards that Bob has with a symbol X.
Similarly, let us call the number of cards that Bill has with Y

The problem says: "Bob has three times as many baseball cards as Bill." Mathematically, this means: X = 3*Y.
The problem also says: "Together they have a total of 68 cards". Again, mathematically, this means: X + Y = 68.

We now have a system of equations that can be solved by the substitution method. Let us replace "x" with "3y" from the first equation into the second equation.

That is,
3*Y + Y = 68
4*Y = 68
Y = 68/4 = 17.

One can now find X by either using the first or the second equations. The result will be the same. For example, the first one gives: X = 3*Y = 3*17  = 51.

Thus Bob has 51 cards, whereas Bill has 17 cards.