Katie hit four more home runs than three times the number of home runs hit by Kristen. Together they hit 20 home runs. How many home runs did Kristen hit?

Question

Need this asap for today!!!!

Answer 1

Katie hit four more home runs than three times the number of home runs hit by Kristen. Together they hit 20 home runs. How many home runs did Kristen hit?

Let Ka = no of home runs hit by Katie

Let Kr = no of home runs hit by Kristen

Then,

Ka = 4 + 3*Kr     (Katie hit four more home runs than three times the number of home runs hit by Kristen)

Ka + Kr = 20      (Together they hit 20 home runs)

Substituting for Ka = 4 + 3*Kr into the 2nd eqn above,

4 + 3*Kr​ + Kr = 20

4 + 4*Kr = 20

4*Kr = 16

Kr = 4. Therefore Ka = 16

Answer: Katie hit 16 home runs. Kristen hit 4 home runs