Question

Three types of wheat of rs. 1.27 rs. 1.29 and rs. 1.32 per kg are mixed together to be sold at rs. 1.30 per kg. In what ratio should this wheat be mixed?

Answer 1

Answer:

Infinite Solutions

X:Y:Z  ::: 1 : 1 : 2

X:Y:Z  ::: 3 : 1 : 5

X:Y:Z  ::: 1 : 3 : 3

Step-by-step explanation:

Three types of wheat of rs. 1.27 rs. 1.29 and rs. 1.32 per kg are mixed together to be sold at rs. 1.30 per kg. In what ratio should this wheat be mixed?

There are three types of wheat

so 3 variables

so multiple solutions are possible

X(1.27) + Y(1.29)  + Z(1.32)  = (X+Y+Z)(1.3)

Let say X = 1 & Y = 1

then  1.27 + 1.29 + Z(.132) = (2 +Z)(1.3)

=> 2.56 + Z(1.32) = 2.6 + Z(1.3)

=> 0.02Z = 0.04

=> Z = 2

X:Y:Z  ::: 1 : 1 : 2

Let say X = 3 & Y = 1

3(1.27) + 1(1.29) + Z(1.32) = (3 + 1 + Z)(1.3)

=> 3.81 + 1.29  + Z(1.32) = (4 + Z)(1.3)

=> 5.1 + Z(1.32) = 5.2 + 1.3Z

=> 0.02Z = 0.1

=> Z = 5

X:Y:Z  ::: 3 : 1 : 5

Let say X = 1 & Y = 3

1(1.27) + 3(1.29) + Z(1.32) = (1 + 3 + Z)(1.3)

=> 1.27 + 3.87  + Z(1.32) = (4 + Z)(1.3)

=> 5.14 + Z(1.32) = 5.2 + 1.3Z

=> 0.02Z = 0.06

=> Z = 3

X:Y:Z  ::: 1 : 3 : 3