Question

Karrine hit 4 more home runs than half the number of home runs Lu hit. Together they hit 10 home runs. Let x represent the number of homeruns Lu hit

Answer 1

Answer:

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6

Step-by-step explanation:

Let

x ----> represent the number of home runs Lu hit

y ---> represent the number of home runs Karrine hit

we know that

Together they hit 10 home runs

so

$x+y=10$ ----> equation A

Karrine hit 4 more home runs than half the number of home runs Lu hit

so

$y=\frac{1}{2}x+4$ ---> equation B

substitute equation B in equation A

$x+\frac{1}{2}x+4=10$

solve for x

$\frac{3}{2}x=10-4$

$\frac{3}{2}x=6\\x=4$

Find the value of y

$y=\frac{1}{2}(4)+4=6$

therefore

The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6