There are 2 packets of flour, Y & Z.The ratio of the mass of Y to Z is 4:1. If 26g is added to Z,the ratio of the mass of Y to Z is 7:5. Find the mass of the 2 packets at first.

Answer 1

Y/Z= 4.0 so Y = 4 Z

Y/(26 + Z)= 1.4

Solve for Y and Z

4Z/(26 + Z) = 1.4
4Z = 36.4 + 1.4Z
2.6 Z = 36.4
Z = 14
Y = 4Z = 56

Answer 2

could you please show a non-algebraic way to solve this question?

Answer 3

sorry i need a model method to solve

Answer 4

Try a graphical method. Assume different values for Z. Make that the x axis.
On the y axis, plot the mass ratio 4Z/(26 + Z)

When the y value reaches 1.4, you have the correct value of Z. You also know that Y is four times Z.