Mike, Sam and James play football. Mike scores 8 more goals than James. Sam scores 5 more goals than Mike. Altogether they score 72 goals. How many did Sam score?

Let James = x 

Mike = x+8

Sam = Mike+5 = (x+8)+5 = x+13

Altogether: James + Mike + Sam = 72

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

Now solve for x: 3x + 21 = 72

Bring 21 to the other side: 3x = 72-21 = 51

Divide by 3 on both sides: x = 17

Going back to the beginning: Sam = x +13, therefore Sam = 17+13 = 30

Sam scored 30 goals.

JR
Answered by Joshua R. Maths tutor

3578 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

5 students are in a maths class and 10 students are in a physics class. The mean mark of the maths class is 90 and the mean mark of the physics class is 85. Work out the mean mark of both classes.


Solve x^2 - 9 = 4x + 12


How to expand and simplify expressions


Triangle ABC has perimeter 20 cm. AB = 7 cm. BC = 4 cm. By calculation, deduce whether triangle ABC is a right-angled triangle. 4 marks.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences