Question

In what proportion must coffee at Rs. 625 per kgs be mixed with coffee at Rs. 750 per kg. in order to obtain the mixture costing Rs. 675 per kg.

7 : 9

8 : 11

3 : 2

4 : 5


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Answer 1

Answer:

rice =625x

coffee =750y

mixture=(x+y)675

625x+750y=675(x+y)

625x-675x=675y-750y

-50x=-75y

x/y=75/50

x:y=3:2

Step-by-step explanation:

Answer 2

Proportion is 3 : 2.

Given

To find the proportion for the given data.

Coffee at Rs.625 per kgs be "625x"

Coffee at Rs.750 per kgs be "750y"

To obtain mixture be "(x+y)675"

Coffee at Rs.625 per kgs + Coffee at Rs.750 per kgs = Mixture

           625x   +  750y   =  675 ( x+y )

           625x   +  750y   =  675x + 675y

           625x   -   675x   =  675y  - 750y

                       -  50x  =  - 75y

                          50x  =   75y

                        x : y  =  75 : 50      

                                 =   3  :  2

Therfore, the proportion of x : y is 3 : 2.

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