Question

Solve each problem by writing and solving a one-variable equation. In the first three innings of a baseball game, the home team scored some runs. In t

Equations and inequalities
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asked 2021-02-22
Solve each problem by writing and solving a one-variable equation.
In the first three innings of a baseball game, the home team scored some runs. In the rest of the game, they Scored 5 runs more than the number of runs scored in the first three innings. If the home team scored 9 runs in all, how many runs did they score during the first three innings? How many runs did they score in the remainder of the game?
Let x = the runs scored in the first three innings

Answers (1)

2021-02-23
Home team scored 9 runs in all
Let,
x=the runs scored in the first three innings
so,
\(\displaystyle\Rightarrow{x}+{x}+{5}={9}\)
\(\displaystyle\Rightarrow{2}{x}+{5}={9}\)
\(\displaystyle\Rightarrow{2}{x}={9}-{5}\)
\(\displaystyle\Rightarrow{2}{x}={4}\)
\(\displaystyle\Rightarrow{x}=\frac{{4}}{{2}}\)
\(\displaystyle\Rightarrow{x}={2}\)
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