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Question

A book sold 36,200 copies in its first month of release. Suppose this represents 9.6% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.

Answer 1

If we let x represent the total number of copies sold to date, then we can find 9.6% of the missing number x that is equal to 36200.

For example, 20% of 10 is 2

This can be calculated by multiplying the percent in decimal form by the total number of "items":

0.20 * 10 = 2

For your problem, 9.6% in decimal form is 0.096:

0.096 * x = 36200

If you divide 36200 by 0.096, you will determine the total of copies sold to date: 36200 / 0.096 = 377083 copies

To verify: 0.096 * 377083 = 36200

Answer 2

36,200 is 9.6% of the total.

"%" means per hundred, so 9.6% is 9.6 / 100 = 0.096

Call the total T:

T * 0.096 = 36,200

Solve this equation for T