Hello, frogsrcool!

I'll use a head-on approach . . .

At a a local grocery store, the bananas they receive go through three stages:

from the farmer to the market, market to the wholsaler,

and from the wholsaler to the grocery store.

At each stage, the price of the bananas increase by 20% of the previous price.

If a person buys 80cents worth of bannas at the grocery store,

how much was the farmer paid for those bananas?

The farmer was paid cents for those bananas.

The market raised the price by 20%.

. . That is: . cents.

And sold them to the wholesaler for cents.

The wholesaler raised the price by 20%.

. . That is: . cents.

And sold them to the grocery store for cents.

The grocery store raised the price by 20%.

. . That is: . cents.

And sold them to the customer for cents.

We are told that the customer paid cents for the bananas.

Hence, we have: .

Therefore, the farmer was paid about46.3¢for the bananas.

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Check: . . . .Yes!