Lizzy: Jerry is making cherry syrup. He needs 500 cherries per quart of syrup. It takes him 2 hours to pick 300 cherries and 3 hours to make the syrup. How long will it take him to make 9 quarts of syrup?.
Me: Hmmm, let me think. I think this is the detailed solution:
First find how many cherries Jerry can pick in one hour: 300 cherries / 2 hours = 150 cherries / hour. Then multiply the number of quarts of syrup by the number of cherries per quart to find the total number of quarts Jerry needs: 500 cherries / quart * 9 quarts = 4500 cherries. Then divide the total number of cherries by the number of cherries he picks per hour to find the number of hours the cherry - picking takes: 4500 cherries / 150 cherries / hour = 30 hours. Then add the time it takes him to make the syrup to find the total time: 30 hours + 3 hours = 33 hours. Final answer: 33.