Construct a pair of simultaneous equations

Click For Summary

Discussion Overview

The discussion revolves around constructing a pair of simultaneous equations based on the requirements for new uniforms for students in a hostel. The focus is on determining the quantities of materials needed for blouses, skirts, shirts, and trousers, given the total amounts of white and blue materials available.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant outlines the requirements for materials based on the number of girls ($x$) and boys ($y$), noting that 1 meter of white material is needed for each blouse and $1\frac{1}{2}$ meters of blue material for each shirt.
  • Another participant seeks clarification on where the original poster is stuck and prompts them to consider how many blouses and skirts will be needed based on $x$ girls.
  • A participant attempts to construct the equations, proposing: $1x + 1\frac{1}{2}y = 72m$ for white material and $1\frac{1}{2}x + 2y = 100m$ for blue material.
  • Another participant suggests a correction to the equations, stating that boys are fully clad in blue and proposes: $1x = 72m$ for white material and $1\frac{1}{2}x + 1\frac{1}{2}y + 2y = 100m$ for blue material.
  • Concerns are raised about potentially running short on blue material based on the proposed equations.

Areas of Agreement / Disagreement

Participants express differing views on the correct formulation of the simultaneous equations, indicating that there is no consensus on the final equations to be used.

Contextual Notes

There are unresolved assumptions regarding the distribution of materials and the specific roles of the students in terms of uniform requirements, which may affect the equations constructed.

mathlearn
Messages
331
Reaction score
0
The students in a hostel are to get new uniforms. Each girl is to receive a blouse and a skirt , each boy is to receive a shirt and a pair of trousers.1 meter of white material is required to sew a blouse and $1\frac{1}{2}$ meters of blue material is required to sew a shirt . Moreover $1\frac{1}{2}$ meters of blue material is required to sew a skirt and 2 meters of blue material is required to sew a pair of trousers. The total amount of white material is 72 meters and the total amount of blue material required is 100 meters.

i.Taking the number of girls as $x$ and the number of boys as $y$ , construct a pair of simultaneous equations in x and y

I need help in constructing the pair of equations. (Sun)
 
Mathematics news on Phys.org
mathlearn said:
The students in a hostel are to get new uniforms. Each girl is to receive a blouse and a skirt , each boy is to receive a shirt and a pair of trousers.1 meter of white material is required to sew a blouse and $1\frac{1}{2}$ meters of blue material is required to sew a shirt . Moreover $1\frac{1}{2}$ meters of blue material is required to sew a skirt and 2 meters of blue material is required to sew a pair of trousers. The total amount of white material is 72 meters and the total amount of blue material required is 100 meters.

i.Taking the number of girls as $x$ and the number of boys as $y$ , construct a pair of simultaneous equations in x and y

I need help in constructing the pair of equations. (Sun)

Hey mathlearn,

Did you already try something? Or can you explain where you're stuck?

With $x$ girls, how many blouses and skirts will we need?
How much of the materials will that require? (Wondering)
 
I like Serena said:
Hey mathlearn,

Did you already try something? Or can you explain where you're stuck?

With $x$ girls, how many blouses and skirts will we need?
How much of the materials will that require? (Wondering)

Hey I like Serena (Wave),

I was totally helpless here & that Implies that I am stuck in the beginning. :confused:

With $x$ girls 1m*$x$ for blouse & $1\frac{1}{2}$ meters for skirt

Taking boys as $y 1\frac{1}{2}$ for shirt and 2 of the blue material for trousers.

I will attempt to construct a pair of simultaneous equations.

$1x+1\frac{1}{2}y=72m\left(white material\right)$

$1\frac{1}{2}x+2y=100m\left(blue material\right)$

You have forgot to wink (';)') here (Giggle)

I like Serena said:
Hey mathlearn,

Did you already try something?
 
mathlearn said:
Hey I like Serena (Wave),

I was totally helpless here & that Implies that I am stuck in the beginning. :confused:

With $x$ girls 1m*$x$ for blouse & $1\frac{1}{2}$ meters for skirt

Taking boys as $y 1\frac{1}{2}$ for shirt and 2 of the blue material for trousers.

I will attempt to construct a pair of simultaneous equations.

$1x+1\frac{1}{2}y=72m\left(white material\right)$

$1\frac{1}{2}x+2y=100m\left(blue material\right)$

You have forgot to wink (';)') here (Giggle)

There you go! ;)
Except that boys are fully clad in blue, so it should be:

$1x=72\text{ m (white material)}$

$1\frac{1}{2}x++1\frac{1}{2}y + 2y=100\text{ m (blue material)}$

Looks like we might run short on blue material! :eek:
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 67 ·
3
Replies
67
Views
7K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 75 ·
3
Replies
75
Views
7K
  • · Replies 1 ·
Replies
1
Views
2K