During a recent season, Matt Carpenter and Tommy Pham of the St. Louis Cardinals hit a combined total
of 46 homeruns. Carpenter hit 6 more home runs than Pham. How many home runs did each player hit ?

Respuesta :

the number of home runs hits by Pham is 20.

the number of home runs hits by carpenter is 26.

How to find the how many home runs did each player hit ?

given that

Matt Carpenter and Tommy Pham of the St. Louis Cardinals hit a combined total of 46 home runs. Carpenter hit 6 more home runs than Pham.

Let number of home runs hits by Pham be X.

already given that Carpenter hit 6 more home runs than Pham.

so, the number of home runs hits by carpenter be (X+6)

The total number of home runs hits by both = 46

so,

[tex] x + (x + 6) = 46 \\ 2x + 6 = 46 \\ 2x = 46 - 6 \\ x = \frac{40}{2} \\ x = 20[/tex]

so, the number of home runs hits by Pham is 20.

Now substitute x=20 in (X+6) to obtain the carpenter's home runs hits.

the number of home runs hits by carpenter is

[tex]x + 6 = 20 + 6 = 26[/tex]

Therefore, the number of home runs hits by Pham is 20.

the number of home runs hits by carpenter is 26.

Learn more about algebraic equations, refer:

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