465 views

### Ali has £4. Ben has twice as much as Ali. Ben has two-thirds of the amount Cara has. The amount Cara has is four-fifths of her age in years. How old is Cara?

We know Ben has double what Ali has, so we can immediately work out that Ben has £8, because:

4 x 2 = 8.

We will now call the amount Cara has c. The amount Ben has (£8, as shown above) is two-thirds of what Cara has, so 2/3 of c is 8. To work out how much Cara has, we rearrange the following equation to get c:

2/3 x = 8

First multiply both sides by 3:

2 x c = 24

And divide both sides by 2:

c = 12

Finally, we need to work out Cara's age, which we will call d. The amount she has (£12, as we just worked out) is four-fifths of her age in years, so 4/5 of is 12. In a similar way to before, we rearrange the following equation:

4/5 x = 12

Multiply both sides by 5:

4 x = 60

And divide both sides by 4:

= 15.

And that's our answer! Cara is 15 years old.

2 years ago

Answered by Pippa, a GCSE Maths tutor with MyTutor

## Still stuck? Get one-to-one help from a personally interviewed subject specialist

#### 335 SUBJECT SPECIALISTS

£18 /hr

Celine A.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Hello! I'm Celine and I am currently in my second year of my Maths degree at the University of Bristol.  I offer any level of Maths tutoring up to and including Maths and Further Maths A-level.  We can go through your course and home...”

MyTutor guarantee

£18 /hr

Nicola C.

Degree: Medicine MBChB (Other) - Birmingham University

Subjects offered: Maths, Chemistry+ 2 more

Maths
Chemistry
Biology
-Medical School Preparation-

“About me I have an incredible passion for science and am currently studying Medicine at the University of Birmingham. Having always shown great enthusiasm for the science subjects, I hope that I would be able to pass this on to other ...”

£18 /hr

Peter W.

Degree: Aerospace Engineering (Masters) - Queen's, Belfast University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“Second year Aerospace Engineering student at Queen's University Belfast. Happy to offer help in Maths, Further Maths and Physics at GCSE and A-Level, which I have great experience in both learning and tutoring.”

£18 /hr

Pippa F.

Degree: History (Bachelors) - Durham University

Subjects offered: Maths, History

Maths
History

MyTutor guarantee

### You may also like...

#### Other GCSE Maths questions

Solve X^2 +13X+48=12