Question

Alex mixes 2/3 pounds of walnuts with 3/5 pound of dried fruit. To create more of the same mixture, how many pounds of walnuts does Alex need to mix with one pound of dried fruit?

Answer 1

ANSWER

Alex needs to mix one pound of dried fruit with

`1 (1)/(9)`
pounds of walnuts.

Step-by-step explanation

It was given that, Alex mixes

`(2)/(3)`
pounds of walnuts with


`(3)/(5)`
pounds of dried fruit.


We can write the ratio,


`(2)/(3) : (3)/(5)`

Let

`x`
represent how many pounds of walnuts Alex needs to mix with one pound of dried fruit.


Then we can again write the ratio,


`x: 1`
We can therefore write the proportion,



`(2)/(3) : (3)/(5) = x: 1`

This can be rewritten as,


`( (2)/(3) )/( (3)/(5) ) = (x)/(1)`

We solve for x to obtain,


`(2)/(3) * (5)/(3) = x`


This implies that,


`x = (10)/(9)`


`x = 1 (1)/(9)`

Hence Alex needs to mix

`1(1)/(9)`
pounds of walnuts with one pound of dried fruit.