happytobehere62
Badges: 2
Rep:
?
#1
Report Thread starter 2 years ago
#1
John's book has 35 more pages than Paul's. Asha's book has 22 fewer pages than Paul's. Altogether, there 247 pages in the three books.
Question:
How amny pages are there in John's book?
0
reply
Pastelx
Badges: 18
Rep:
?
#2
Report 2 years ago
#2
Try coming up with three equations and use a method of simultaneous equations to solve them
Consider the number of books John, Paul and Asha have as J,P and A books
0
reply
Baza2002
Badges: 18
Rep:
?
#3
Report 2 years ago
#3
(Original post by happytobehere62)
John's book has 35 more pages than Paul's. Asha's book has 22 fewer pages than Paul's. Altogether, there 247 pages in the three books.
Question:
How amny pages are there in John's book?
x + x - 35 + x - 35 - 22
=
3x -92 = 247
3x = 339
x = 113
johns book has 113 pages
0
reply
username3434964
Badges: 21
Rep:
?
#4
Report 2 years ago
#4
Come up with equations for the three books

Add them together and equal them to the total number of pages

Simplify / rearrange

Find out how many pages are in pauls book

ANSWER:
Spoiler:
Show




j=p+35
p=?
a=p-22

J+P+A=247

P+35+P+P-22=247

3P+13=247

3p=234

p=78

J=p+35
J=78+35
J=113

Johns book has 113 pages



1
reply
the bear
Badges: 20
Rep:
?
#5
Report 2 years ago
#5
(Original post by Baza2002)
x + x - 35 + x - 35 - 22
=
3x -92 = 247
3x = 339
x = 113
johns book has 113 pages
you are not supposed to do all the working out
0
reply
Baza2002
Badges: 18
Rep:
?
#6
Report 2 years ago
#6
(Original post by the bear)
you are not supposed to do all the working out
oh, i couldn't help myself. i like maths...
im aiming for a grade 9 and doing the aqa level 2 further maths gcse (just been studying matrices, easier than i thought they would be)
1
reply
kelleyohara5
Badges: 5
Rep:
?
#7
Report 2 years ago
#7
J = 35 + P
A = P - 22
J + A + P = 247

This is how you lay out your question.

Then you just substitute the equations that involve the same unknown term in the bottom equation.

J + A + P = 247
35 + P + P - 22 + P = 247

Then you simplify that to get:

3P + 13 = 247
3P = 247 - 13
3P = 234
P = 78

So then, J = 35 + P

=> J = 35 + 78
J = 113

Thought I might write it out in full xd
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

Current uni students - are you thinking of dropping out of university?

Yes, I'm seriously considering dropping out (195)
14.4%
I'm not sure (61)
4.51%
No, I'm going to stick it out for now (393)
29.03%
I have already dropped out (37)
2.73%
I'm not a current university student (668)
49.34%

Watched Threads

View All