Question

Find the value of x and y so that both proportions will be correct:

x:1 2/3 =y:3 1/3 and y:1.5=0.2:0.75

Answer 1

The values of x and y are 0.2 and 0.4 respectively.

Step-by-step explanation

The given proportions are.....

`x: 1(2)/(3)=y: 3(1)/(3)` and
`y:1.5=0.2:0.75`

From the second proportion, we will get....

`y:1.5=0.2:0.75\\ \\ (y)/(1.5)=(0.2)/(0.75) \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=(0.3)/(0.75)=0.4`

Now, we will plug this
`y=0.4` into the first proportion. So we will get....

`x: 1(2)/(3)=y: 3(1)/(3)\\ \\ x: (5)/(3)=0.4:(10)/(3) \\ \\ (x)/((5)/(3))= (0.4)/((10)/(3))\\ \\ (3x)/(5)=(1.2)/(10)\\ \\ 30x=6\\ \\ x= (6)/(30)=0.2`

So, the values of x and y are 0.2 and 0.4 respectively.