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A baseball coach has 5 times as many baseballs as he does bats. All together he has 54 baseballs and bats, how many baseballs does he have?

User Astrophage
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Final answer:

By setting up an equation with x as the number of bats and 5x as the number of baseballs, we find that x, the number of bats, is 9. Therefore, the coach has 5 times 9, which equals 45 baseballs.

Step-by-step explanation:

The student is dealing with a classic algebra problem.

To find out how many baseballs the coach has, we can set up an equation.

Let x represent the number of bats. According to the problem, the coach has 5 times as many baseballs as bats, so he has 5x baseballs. The total number of baseballs and bats is given as 54, which leads to the equation:

x + 5x = 54

Solving for x gives us:

6x = 54
x = 9

Now that we know the coach has 9 bats, to find the number of baseballs, we multiply by 5:

5 × 9 = 45

So, the coach has 45 baseballs.

User Molecule
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