The hockey player must score 20 goals in order to make the same money as the first contract
<em><u>Solution:</u></em>
Given that, hockey player is offered two options for a contract
Let "x" be the number of goals made
<em><u>Option 1 :</u></em>
<em><u>A base salary of 50,000 and 1000 per goal</u></em>
Money earned = 50000 + 1000(number of goals)
Money earned = 50000 + 1000x ------- eqn 1
<em><u>Option 2 :</u></em>
<em><u>Base salary of 40,000 and 1500 per goal</u></em>
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
