A farmer sells strawberris at a market in both pint-sized and quart-sized containers. The farmer charges $3 for each pint, and $5 for each quart and is always paid on the day of purchase and sells no other goods. On a recent day, the farmer sold as many pint containers as quart containers and recieved $120 in sales. How many pints of strawberries did the farmer sell?

Question

hero · Answer

Hint:
x = y
3x + 5y = 120

hero · Answer

I think that first equation I posted was too much of a give away.

hero · Answer

That's really all you need to know. If x = y, then just use substitution.

anonymous · Answer

The number of pints he sells = p
The number of quarts he sells = q
at $3 per pint, the total money he will make on pints are $3*p = $3p
at $5 per quart, the total money he will make on quarts are $5*q = $5q
The total he got that day was 120 meaning that $3p + $5q = 120
but since he sold an equal number of pints as quarts then p = q that day
so that day, $3p + $5p = 120
                  $8p = 120
                      p = 15