Real-Life Math -- Solution
Remember, there are 50 bunches of grapes in each box and you sampled 10 boxes. First, determine the total number of bunches inspected.
Bunches inspected = boxes x bunches per box
Bunches inspected = 10 x 50
Bunches inspected = 500
Determine the percentage of grapes that don't meet color requirements.
Color defect = 15 bunches / 500 bunches inspected x 100
Color defect = 3
Determine the percentage of grapes that don't meet the minimum diameter for berries.
Size defect = 45 bunches / 500 bunches inspected x 100
Size defect = 9
Determine the percentage of grapes with serious defects.
Serious defects = 12 / 500 x 100
Serious defects = 2.4
All 3 results are less than the permitted levels of decay and damage, so the order meets the grade standards.
Produce graders do a lot of work with percentages. Accuracy is very important.
"A 5 percent error on inspection results could cost someone a lot of money. Someone is going to lose money, so the results better be accurate, or the wrong person could be getting an invoice clipped," says Honey.