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 find the number of nails and the total amount of items in the toolbox, we start by using the given ratio 5:3:2 for nails:screws:bolts.

1. **Identify the ratios**:
- Nails = 5 parts
- Screws = 3 parts
- Bolts = 2 parts

2. **Determine the value of one part**:
- Since there are 15 screws and the ratio for screws is 3 parts, we can find the value of one part as follows:
\[
\text{Value of one part} = \frac{15 \text{ screws}}{3 \text{ parts}} = 5
\]

3. **Calculate the number of nails**:
- Using the ratio of nails (5 parts):
\[
\text{Number of nails} = 5 \text{ parts} \times 5 = 25 \text{ nails}
\]

4. **Calculate the number of bolts**:
- Using the ratio of bolts (2 parts):
\[
\text{Number of bolts} = 2 \text{ parts} \times 5 = 10 \text{ bolts}
\]

5. **Find the total items in the toolbox**:
- Total items = number of nails + number of screws + number of bolts
\[
\text{Total items} = 25 \text{ nails} + 15 \text{ screws} + 10 \text{ bolts} = 50
\]

Using this information, we can complete the sentences:

There are **25 nails** in the toolbox.
The toolbox contains a total of **50 nails, screws, and bolts**.

Hence the correct answer is:
**25 nails and 50 nails, screws, and bolts.**