Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Ask a question to our educators
MATHS

# Three people win a prize of \$x, if it is divided so that the first person gets half as much money as second person and the third person gets three times as much as the second person, how much will each receive?

The prize is \$ x. The first person (Alex) gets half of what the second person (Beatrice) gets. Let's assume Alex gets \$ P. Beatrice gets double what Alex gets. So, Beatrice gets \$ 2P. The third person (Charlie) gets twice as much as the second person (Beatrice). If Beatrice gets \$ 2P, then Charlie gets \$ 2P x 3 (which is equal to \$ 6P). Summary: Alex: P Beatrice: 2P Charlie: 6P x = P + 2P + 6P x = 9P So, in conclusion: Alex gets one ninth of the prize. (x/9) Beatrice gets two ninths of the prize. (2x/9) Charlie gets six ninths of the prize. (6x/9 = 2x/3)

Fares Alaboud
·

2.4k students helped

## Similar Maths questions

Maths

2.89 to 1 significant figure

Maths

Terms

## What is Q&A on Scoodle?

At Scoodle we understand that everyone learns in a different way. Some people learn through practice, using essays and notes; others prefer video lessons to watch and learn, some just need help with a specifically hard question, while some learn best 1-on-1 tutoring sessions. At Scoodle we cater for all types of learning styles and needs. From GCSE Maths video lessons to A-level English essays and specialist educators in every subject - we’ve got you covered.

Scoodle has helped over 131,000 students so far

Need help with Primary Maths?

Getting expert help from a tutor is a great way to improve your Maths grades.

## Discover learning resources by tutors

Learn Maths with Video Lessons
1hr 28m · 8 videos
Paja Kruzikova
·

705 students helped

GCSE Maths - Numbers
28m · 3 videos
Iqbal Lokman
·

1.6k students helped

1hr 32m · 9 videos
Paja Kruzikova
·

705 students helped

GCSE Maths - Ratios
56m · 6 videos
Paja Kruzikova
·

705 students helped

GCSE Maths - Algebra A
1hr 14m · 7 videos
Paja Kruzikova
·

705 students helped

GCSE Maths - Algebra B
1hr 27m · 9 videos
Paja Kruzikova
·

705 students helped

GCSE Maths - Algebra C