The hockey player must score 20 goals in order to make the same money as the first contract
Solution:
Given that, hockey player is offered two options for a contract
Let "x" be the number of goals made
Option 1 :
A base salary of 50,000 and 1000 per goal
Therefore, money earned is given as:
Money earned = 50000 + 1000(number of goals)
Money earned = 50000 + 1000x ------- eqn 1
Option 2:
Base salary of 40,000 and 1500 per goal
Therefore, money earned is given as:
Money earned = 40000 + 1500(number of goals)
Money earned = 40000 + 1500x --------- eqn 2
In order to make the same money as the other contract, eqn 1 must be equal to eqn 2
50000 + 1000x = 40000 + 1500x
1500x - 1000x = 50000 - 40000
500x = 10000
x = 20
Thus he must score 20 goals in order to make the same money as the first contract