Kieran, Jermaine and Chris play football. Kieran has scored 8 more goals than Chris. Jermaine has scored 5 more goals than Kieran. Altogether they have scored 72 goals. How many goals did Jermaine score?

Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we can see that Kieran has scored 8 more than Chris, ie x + 8. Jermaine scored 5 more goals than Kieran, therefore x + 8 + 5 = x + 13. Now we have the amount of goals each person scored relative to each other. The total number of goals scored was 72, thus all of these amounts must equal 72. 

x + (x + 8) + (x + 13) = 72

Now we can rearrange and solve for x.

3x + 21 = 72

3x = 51

x = 17

Remember, the question is asking the number of goals Jermaine scored. He scored x + 13 goals. There Jermaine scored 17 + 13 = 30 goals. To check our answer lets make sure the numbers add up. Kieran scored x + 8 goals : 17 + 8 = 25. 17 + 25 + 30 = 72. 

DC

Related Maths GCSE answers

All answers ▸

A circular table top has diameter 140 cm. The volume of the table top is 17,150π cmᶟ. Calculate the thickness of the table top


If I buy a dress at 30% off the original price and I pay £40. How much was the dress originally?


2X-6=4


Solve the inequality. x^2 + 2x -15 > 0