Final answer:
To find the total number of copies sold when 36,700 represents 6.2%, set up a proportion and solve for the total, yielding approximately 591,936 copies sold to date after rounding to the nearest whole number.
Step-by-step explanation:
A student has asked how many copies a book has sold to date if 36,700 copies represent 6.2% of the total sales. To find the total number of copies sold, we need to set up a proportion where 36,700 is to 6.2% as the total number of copies is to 100%. We can represent this as:
36,700 / 6.2% = Total copies / 100%
To solve for the total number of copies, we can cross-multiply and then divide as follows:
36,700 × 100% / 6.2% = Total copies
When we carry out the calculation:
36,700 × 100 / 6.2 = Total copies
It gives us:
Total copies = 591,935.48
We round this to the nearest whole number to find that approximately 591,936 copies have been sold to date.