Ben was able to sell 65 boxes of chocolates to wholesaler for $25,500 .If a box of chocolates with fruit jelly worth $300 and a box of chocolates with assorted nuts worth $450, how many boxes of chocolates with assorted nuts did she sell?

This is a systems problem and you read it off algebraically.

" Ben was able to sell 65 boxes of chocolates to wholesaler "

You know there are two types chocolate. Fruit jelly = f and assorted nuts = n. So to write this part algebraically...

f + n = 65

------

" $25,500 .If a
box of chocolates with fruit jelly worth $300 and a box of chocolates
with assorted nuts worth $450, "

This part completes the system, you are looking for two different things, the division proportionately of money and quantities. Algebraically this reads..., ( drop the $ for convenience )

300f + 450n = 25500

------Put the system together.

f + n = 65

300f +450n = 25500

------You try that and see where you get. Hint. The top equation can be expressed thus..,

n = 65 - f or f = 65 - n

Then you can insert that into the bottom equation and find either n or f by substitution.

Then you will see if the quantity answer you were given above is correct.