For a cost of P 100.00, a box of apples was jointly purchased by Maria, Elena and Ana.
For a cost of P 100.00, a box of apples was jointly purchased by Maria, Elena and Ana.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
How did you derive to get these values (encircled)? Please show the complete solution.

Transcribed Image Text:For a cost of P 100.00, a box of apples was
jointly purchased by Maria, Elena and Ana.
One-half of what Maria paid added to one-
fifth of what Elena paid and one-tenth of what
Ana paid will make it P 40.00, and the sum of
what Maria paid increased by one-eighth of
what Elena paid diminished by 1/4 of what
Ana paid will give a total of P 70.00. How
much did each pay?

Transcribed Image Text:Let the amount contributed be M, E and A
respectively
M + E + A = 100.........
..i)
0.5M + 0.2E + 0.1A = 40.......ii)
%3D
M+0.125E-0.25A = 70......iii)
.... ... ..
i - 2*ii would lead to - 0.6E + 0.8A = 20
or A = (20 - 0.6E)/0.8.....iv
i- iii -{ 0.875E + 1.25A = 30
%3D
replace A with iv
0.875E + 1.25*(20 - 0.6E)/0.8 = 30
0.7E + 25 - 0.75E = 24
E = 20
put this in iv
A = (20-0.6*20)/0.8 = 10
%3D
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