Question

Willie Mays and Mickey Mantle hit 88 home runs one season to lead their leagues. Mays hit 14 more home runs than Mantle that year. How many home runs did Mays and Mantle hit? Solve using substitution.

Answer 1

Using substitution to solve the system of equations, it was determined that Willie Mays hit 51 home runs and Mickey Mantle hit 37 home runs in the season they led their leagues.

Step-by-step explanation:

The student is asking about solving a system of linear equations using substitution. The system consists of two equations derived from the information that Willie Mays and Mickey Mantle hit a total of 88 home runs in one season and Willie Mays hit 14 more home runs than Mickey Mantle.

Let's define M as the number of home runs Mays hit and K as the number of home runs Mantle hit. The two equations are:

1. M + K = 88 (because together they hit 88 home runs)
2. M = K + 14 (because Mays hit 14 more than Mantle)

We can use substitution to solve for K by taking equation (1) and substituting M from equation (2):

K + (K + 14) = 88

2K + 14 = 88

2K = 74

K = 37

Now that we know Mantle hit 37 home runs, we can find how many Mays hit by substituting K into equation (2):

M = 37 + 14

M = 51

Therefore, Willie Mays hit 51 home runs and Mickey Mantle hit 37 home runs that season.