SOLUTION: Ann was 1/4 of the way through her book. 20 pages later she was 1/3 of the way through her book. When she was 3/4 of the way through the book, how many pages will she have to read

Question 829716: Ann was 1/4 of the way through her book. 20 pages later she was 1/3 of the way through her book. When she was 3/4 of the way through the book, how many pages will she have to read to finish the book?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
x = y/4
x + 20 = y/3
---
put the system of linear equations into standard form:
---
4x = y
3x + 60 = y
---
4x - y = 0
3x - y = -60
---
copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 60 pages
y = total pages in the book = 240
when she's 3/4 of the way through, her remaining pages = (1/4)y = 60 pages
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
Tara traveled 3 hours on the free way she then decreased her speed by 20 mph and traveled (answered by josgarithmetic)

Claudia is reading a book that has 360 pages. She read some of the book last week. She... (answered by stanbon)

I don't know what category this goes on(so I'm sorry but) I have a problem Marria read... (answered by josmiceli)

Molly read 29 pages of her book. This is 5 pages less than 1/4 of the book. How many... (answered by rothauserc,ikleyn)

I need help once again on this word problem can you help. 1. on the way home (answered by KMST)

slope -3; through (1,-4) what iv tryed is y+4=-3[x-(1)] y+4=-3(x-1) when i checked (answered by Alan3354,jim_thompson5910,solver91311)

Kaylene was asked to number the pages of a book. when she had numbered the last page, she (answered by KMST)

for a vacation, baylee drove 300 miles away from her home. she stoppped 2/3 of the way... (answered by checkley77)

The first week Miriam read 5 less than 1/3 pages in her book. The second week she read... (answered by richwmiller)