Mum2eve73
Badges: 2
Rep:
?
#1
Report Thread starter 6 months ago
#1
Sue has 18 sweets
Tony also has 18 sweets
Sue gives tony x sweets
Sue then eats 5 of her sweets
Tony then eats half of his sweets

Write expressions for the number of sweets sue and tony now have
0
reply
Kallisto
Badges: 22
Rep:
?
#2
Report 6 months ago
#2
You need a linear equation to solve. Think about the steps carefully.

What happens with the number of Sue's sweets when she gives them to Tony and vice versa what to Tony's sweets when he gets them from her?

What happens with Sue's sweets when she eats five of the remained them and to Tony's when he eats the half?

If you need help, look in the spoiler!

Spoiler:
Show



At the beginning, both Sue and Tony have 18 sweets:

18 = 18

Then Sue gives x from her sweets to Tony. That means Sue's sweets is reduced by x and Tony's ones enhanced by the same value, namely x:

18 - x = 18 + x

After that Sue eats five of her remained sweets, that is to say the sweets are reduced by 5:

18 - x - 5 = 13 - x (Sue's term)

Analogous, Tony eats the half of his entire sweets:

0,5*(18 + x) = 9 - 0,5x (Tony's term)

Your equation is:

13 - x = 9 - 0,5x

Solved to x, you get x = 8

Put in the equation, it is true:

13 - 8 = 9 - 0,5*8

5 = 5

:qed:

You are welcome!
Last edited by Kallisto; 6 months ago
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • The University of Law
    The Bar Series: Applications and Interviews - London Bloomsbury campus Postgraduate
    Thu, 17 Oct '19
  • Cardiff Metropolitan University
    Undergraduate Open Day - Llandaff Campus Undergraduate
    Sat, 19 Oct '19
  • Coventry University
    Undergraduate Open Day Undergraduate
    Sat, 19 Oct '19

How has the start of this academic year been for you?

Loving it - gonna be a great year (141)
17.89%
It's just nice to be back! (213)
27.03%
Not great so far... (282)
35.79%
I want to drop out! (152)
19.29%

Watched Threads

View All