The chocolate factory over meet their goal with the total being 16¹/₂ pounds of chocolate frogs per day
Since the chocolate factory has a goal to produce 10¹/₂ pounds of chocolate frogs per day and the machine operates for 7¹/₂ hours per day making 2¹/₅ pounds of chocolate frogs per hours.
We need to determine if the goal of 10¹/₂ pounds of chocolate frogs per day will be produced at this rate.
Number of pounds of chocolate frogs per day
So, number of pounds of chocolate frogs per day = number of pounds of chocolate frogs per hour × number of hours per day = 2¹/₅ pounds per hour × 7¹/₂ hours per day
= 11/5 pounds per hour × 15/2 hours per day
= 11 × 3/2 pounds per day
= 33/2 pounds per day
= 16¹/₂ pounds of chocolate frogs per day
Since the machine produces 16¹/₂ pounds of chocolate frogs per day which is greater than 10¹/₂ pounds of chocolate frogs per day, the chocolate factory over meet their goal.
So, the chocolate factory over meet their goal with the total being 16¹/₂ pounds of chocolate frogs per day
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