A problem states: " there are 3 more baseballs than bats in a dugout. There are 15 bats and baseballs in the dugout in all. How many bats are in the dugout?" Let b represent the number of bats. Which expression represents the situation?

Respuesta :

9 baseballs and 6 bats

Answer:

The required equation is 2b+3=15.

Number of bats = 6

Number of baseballs = 9

Step-by-step explanation:

Let b be the number of bats.

It is given that there are 3 more baseballs than bats in a dugout.

Number of baseballs = b + 3

Number of bats and baseballs in the dugout in all is

[tex]Total=b+(b+3)[/tex]

[tex]Total=(b+b)+3[/tex]

[tex]Total=2b+3[/tex]

There are 15 bats and baseballs in the dugout in all.

[tex]2b+3=15[/tex]

The required equation is 2b+3=15.

Subtract 3 from both sides.

[tex]2b=15-3[/tex]

[tex]2b=12[/tex]

Divide both sides by 2.

[tex]b=6[/tex]

The value of b is 6. So, the number of bats is 6 and number of baseballs is 6+3=9.