Answer:
a. [tex]3+\frac{x}{2} =8[/tex]
b. x = 10
Step-by-step explanation:
a. The number of home runs hit by Jack last season = x
It is given that Henry hit 3 more than half as many home runs as Jack hit.
Half of the runs hit by Jack = [tex]\frac{x}{2}[/tex]
3 more than half the runs = [tex]3+\frac{x}{2} [/tex]
So, the number of home runs hit by Henry = [tex]3+\frac{x}{2} [/tex]
But, it is given that Henry hit a total of 8 runs.
Therefore, [tex]3+\frac{x}{2} =8[/tex]
b. [tex]3+\frac{x}{2} =8[/tex]
Subtract 3 from both sides.
[tex]\frac{x}{2} =8-3[/tex]
= 5
x = 5 × 2
= 10
Hence, Jack hit 10 runs in the last season.