A factory produces 1515 items in 3 days. How many items will they produce in a week? (a) 3530 (b) 3553 (c) 3533 (d) 3535 (e) None of these

Solution

To find out how many items a factory produces in a week (7 days), given that it produces 1515 items in 3 days, we can use a simple proportion:

\[
\text{Items produced in 3 days : 3 days = Items produced in 7 days : 7 days}
\]

We can set up the equation as follows:

\[
\frac{1515 \text{ items}}{3 \text{ days}} = \frac{x \text{ items}}{7 \text{ days}}
\]

To find \(x\) (the number of items produced in 7 days), we solve for \(x\):

\[
x = \frac{1515 \times 7}{3}
\]

\[
x = \frac{10605}{3}
\]

\[
x = 3535 \text{ items}
\]

Therefore, the factory will produce 3535 items in a week.

The correct answer is (d) 3535.