Ahockey 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?

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

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

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

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y=20x

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hope this