Question

5. Henry hit 3 more than half as many home runs as Jack hit last season. Henry hit a total of 8 home runs. a. Make Sense and Persevere Write an equation you could use to find the number of home runs, x, that Jack hit last season. EMP b. Solve your equation to find the number of home runs, x, that Jack hit last season

Answer 1

a.
`3+(x)/(2) =8`

b. x = 10

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 =
`(x)/(2)`

3 more than half the runs =
`3+(x)/(2)`

So, the number of home runs hit by Henry =
`3+(x)/(2)`

But, it is given that Henry hit a total of 8 runs.

Therefore,
`3+(x)/(2) =8`

b.
`3+(x)/(2) =8`

Subtract 3 from both sides.

`(x)/(2) =8-3`

= 5

x = 5 × 2

= 10

Hence, Jack hit 10 runs in the last season.