Question

Help! with explanations if possible

Answer 1

5

Explanation:

1. according to the condition

`(price \ radio1)/(price \ radio2) =(x)/(y)`

2. when the both prices are increased the ratio is

`(x+20)/(y+20)=(5)/(2)`

3. when the both prices are reduced the ratio is

`(x-25)/(y-25) =(5)/(1)`

4. using the equations written in steps 2&3 it is possible to make up the system of the two equations:

`\left \{ {{(x+20)/(y+20)=(5)/(2)  } \atop {(x-25)/(y-25)= (5)/(1) }} \right.`

where x=160; y=52.

5. ration x:y=5.