Question

The ratio of nails to screws to bolts in a toolbox is 5:3:2. There are 15 screws in the toolbox. Complete the sentences below.

There are ____________ nails in the toolbox.

The toolbox contains a total of __________ nails, screws and bolts.

*
1 point
25 nails and 10 nails, screws, and bolts.
25 nails and 50 nails, screws, and bolts.
15 nails and 50 nails, screws, and bolts.
10 nails and 50 nails, screws, and bolts.

Answer 1

To solve the problem, we start with the given ratio of nails to screws to bolts, which is 5:3:2.

Since we know there are 15 screws, we can set up the relationship:

Let the number of screws be represented as \(3x\).
Given that there are 15 screws, we have:

\[ 3x = 15 \]

Solving for \(x\):

\[ x = \frac{15}{3} = 5 \]

Now, we can find the number of nails and bolts using this value of \(x\):

1. **Nails**:
\[
\text{Number of nails} = 5x = 5 \times 5 = 25
\]

2. **Bolts**:
\[
\text{Number of bolts} = 2x = 2 \times 5 = 10
\]

Now we can determine the total number of nails, screws, and bolts in the toolbox:

\[
\text{Total} = \text{Nails} + \text{Screws} + \text{Bolts} = 25 + 15 + 10 = 50
\]

Thus, we answers the sentences accordingly:

There are **25 nails** in the toolbox.

The toolbox contains a total of **50 nails, screws and bolts**.

So the appropriate option is:

**25 nails and 50 nails, screws, and bolts.**