# A math problem

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#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
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
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
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

Spoiler:
Show

Johns book has 113 pages

1
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
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
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
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