Answer:
27 earned runs
Step-by-step explanation:
Given
Rate: 6 runs in 18 innings.
Required
Determine the number of runs in 81 innings
First, we need to calculate the rate.
[tex]Rate = \frac{Runs}{Innings}[/tex]
[tex]Rate = \frac{6}{18}[/tex]
[tex]Rate = \frac{1}{3}[/tex]
Represent the number of runs in 81 innings as x.
The rate of x runs in 81 innings is;
[tex]Rate = \frac{x}{81}[/tex]
Equate both rates
[tex]\frac{1}{3} = \frac{x}{81}[/tex]
Make x the subject
[tex]x = \frac{1}{3} * 81[/tex]
[tex]x = \frac{81}{3}[/tex]
[tex]x = 27[/tex]
Hence, he will give up 27 earned runs
