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 goal. How may goals must he score in order to make the same money as the first contract?

Answer 1

The hockey player must score 20 goals to make the same money as the first contract.

Step-by-step explanation:

In order to make the same amount of money as the first contract, the hockey player must calculate the number of goals required. Let's assume the player needs to score 'x' goals.

For the first contract, the total salary would be 50000 + 1000x. For the second contract, the total salary would be 40000 + 1500x.

Equating the two salaries, we get:

50000 + 1000x = 40000 + 1500x

Subtracting 1000x from both sides, we get:

50000 = 40000 + 500x

Subtracting 40000 from both sides, we get:

10000 = 500x

Dividing both sides by 500, we get:

x = 20

So, in order to make the same money as the first contract, the player must score 20 goals.

Answer 2

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

Money earned = 50000 + 1000(number of goals)

Money earned = 50000 + 1000x ------- eqn 1

Option 2 :

Base salary of 40,000 and 1500 per goal

Money earned = 40000 + 1500(number of goals)

Money earned = 40000 + 1500x --------- eqn 2

To make the same money as the first 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