You and your brother have your pocket money split in the ratio 2:7. If your brother receives £42, how much do you receive?

Ratios are best thought of as how to split up one total amount into different portions. People often like to think about a cake; in this particular scenario we are splitting a cake with 9 slices (7 + 2) into one portion of 2 slices, and another portion of 7 parts.
To answer this question we need to find out the value of one 'slice', in order to find out how much your 2 'slices' would be worth altogether. Because we know that your brother's portion of 7 slices is equal to £42, we can use that to work out what one slice is worth by diving £42 by 7. This gives us £6, meaning that one single slice of the cake is £6. All that is left to do is to go back to the initial ratio - 2:7 - and multiply the £6 we've got by the 2 on our side of the ratio in order to find out how much pocket money we receive. That gives us £12, and that is the answer to the question.

Answered by Sam R. Maths tutor

2834 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A box contains an assortment of 100 coloured marbles, coloured red, blue and green. The ratio of blue balls to green balls is 1:3. If there are 16 red balls in the box, what is the ratio of red balls to green balls, and red balls to blue balls?


Simplify √ 12 + √ 75


The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a


Simplify (x+4)^(2)-(x-2)^(2)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences