Question

A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996

Answer 1

The answer is "1:2"

Explanation:

Let 96 car sales are X and 96 truck sales are Y And income from 97 cars is 0.89X, income from 97 trucks is 1.07Y

`\to ((0.89X+1.07Y))/((X+Y))=1.01\\\\(X)/(Y)=?\\\\\to ((0.89X+1.07Y))/((X+Y))\ \ \text{Divide by Y and get}\ \ (( (0.89X)/(Y)+1.07))/(((X)/(Y)+1)) =1.01\\\\`

Then

`\to (X)/(Y)=1:2`