Question

The ratio of pens to pencils in the storage closet is 2 to 5. There are 30 pencils in the storage closet.


Choose the correct answer from each drop-down menu to complete the statement.


The total number of pens and pencils in the storage closet is
1728334208377-3
, which means there are
1728334218897-2
pens in the storage closet.

Answer 1

To solve the problem, we start with the ratio of pens to pencils, which is 2 to 5. This means for every 2 pens, there are 5 pencils.

We know there are 30 pencils in the storage closet. To find the amount of pens, we can first determine how many sets of 5 pencils are in 30 pencils:

\[
\frac{30 \text{ pencils}}{5 \text{ pencils per set}} = 6 \text{ sets}
\]

Since there are 2 pens for each set, we can find the total number of pens:

\[
6 \text{ sets} \times 2 \text{ pens per set} = 12 \text{ pens}
\]

Now we can calculate the total number of pens and pencils in the storage closet:

\[
30 \text{ pencils} + 12 \text{ pens} = 42 \text{ total items}
\]

Therefore, we can complete the statement:

The total number of pens and pencils in the storage closet is **42**, which means there are **12** pens in the storage closet.