We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+1
65
1
avatar

Charlie is making costumes for a school show. One day he made 2 cloaks and 3 dresses. The total amount of material he used was 9·6 square metres. (a) Write down an equation to illustrate this information. 1 (b) The following day Charlie made 3 cloaks and 4 dresses. The total amount of material he used was 13·3 square metres. Write down an equation to illustrate this information. 1 (c) Calculate the amount of material required to make one cloak and the amount of material required to make one dress.

 Sep 18, 2019
 #1
avatar+104874 
+1

Let x be the square meters of material used to make 1 cloak  and y be the  square meters of material used to make 1 dress

 

We have these equations   :

 

2x  +  3y   =   9.6        multiply through by  -4   ⇒   -8x  - 12y  = -38.4        (1)    

3x  +  4y   = 13.3        multiply through by  3    ⇒    9x  + 12y  =  39.9        (2)

 

Add (1)  and (2)    and we get that

 

x  =  1.5  =  the square meters of material needed to make one cloak

 

And the number of square meters to make one dress can be found thusly :

 

2 (1.5) + 3(y)  = 9.6

 

3  + 3y  =  9.6              subtract 3 from both sides

 

3y   = 6.6                   divide both sides by  3

 

y  = 2.2  = the square meters of material needed to make one dress

 

cool cool cool

 Sep 18, 2019

22 Online Users

avatar