A chocolate factory has a goal to produce
10
1
2
10
1
2
pounds of chocolate frogs per day. If the machines operate for
7
1
2
7
1
2
hours per day making
2
1
5
2
1
5
pounds of chocolate frogs per hour, will the chocolate factory make it’s goal?
The chocolate factory produces 2 1/5 pounds of chocolate frogs per hour for 7 1/2 hours, so it produces a total of (2 1/5)*(7 1/2) pounds per day.
First, convert the mixed numbers to fractions: 2 1/5 = 11/5 and 7 1/2 = 15/2
Now multiply the fractions: (11/5)*(15/2) = 165/10
Convert the improper fraction to a mixed number: 165/10 = 16 1/2
The chocolate factory produces 16 1/2 pounds of chocolate frogs per day. Their goal is to produce 10 1/2 pounds per day, so they will meet their goal.