Posted by **kchik** on Thursday, November 29, 2012 at 6:27am.

An education fund allocates RM10,000 to help 100 students from form three, form five and form six in a school. Each form three student receives RM80, each form five student receives RM120 and each form six student receives RM160. The number of form three students that receive the aid is twice the number of form five students.

(a) Form a system of linear equations from the above information.

(b) Hence, determine the number of students for each form that receive the aid by using matrices.

- basic math -
**Reiny**, Thursday, November 29, 2012 at 8:29am
Form three students --- x

form five students ---- y

form six students ----- 100-x-y

80x + 120y + 160(100-x-y) = 10000

80x + 120y + 16000-160x-160y = 10000

-80x - 40y = -6000

2x + y = 150

but it said:

x = 2y

2(2y) + y = 150

y = 30

x = 2y = 60

remaining students = 100-30-60 = 10

I did not use matrices on such a simple problem because solving it was so much easier using the above method,

but.... if you have to use matrices

our two equations are:

2x + y = 150

x - 2y = 0

2 1 150

1 -2 0 ---->

4 2 300

1 -2 0 --->

1 -2 0

4 2 300 ---> add

1 -2 0

5 0 300

1 -2 0

1 0 60

from the last x=60

in 1st: 60-2y=0

-2y=-60

y=30

etc

## Answer This Question

## Related Questions

- Math - What is the standard form and expanded form of Five Thousand One Hundred ...
- math - Can you tell me if this is the correct way to write in standard form: 1. ...
- math - I'm sorry I was unable to open your answer. My question was if you could ...
- Math help, anyone? - Solve the proportion. Where necessary, round to the nearest...
- Music - What musical form preceded the sonata-allegro form, and is the sonata-...
- math - a certain center uses both form and form b if form a is used 4 times more...
- Math - How would I find point slope form, slope intercept form, and standard ...
- Chemistry - (1) Which of the following clusters of orbitals would form the shape...
- maths - In the sequence: x+4y ; 2y+2 ;x ;y-1, (consisting of 4 terms) the first ...
- stats - suppose you are to form a scatterplot oby collecting data for the given ...

More Related Questions