Question

A hockey player is offered two options for a contract: either a base salary of 50,000 and 1000 per goal, or a base salary of 40,000 and 1500 per hoal. How may goals must he score in order to make the same money as the other contract?

Answer 1

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