Question

The ratio of nails to screws to bolts in a toolbox is 532. There are 15 screws in the toolbox complete the sentence below there are blank nails in the toolbox. The toolbox contains a total of blank nails screws and bolts.

Answer 1

Given the ratio of nails to screws to bolts is 5:3:2, and there are 15 screws in the toolbox, we can set up the relationship as follows:

1. Identify the parts of the ratio:
- Nails: 5 parts
- Screws: 3 parts
- Bolts: 2 parts

2. Let’s find the value of one part:
- Since there are 15 screws (which corresponds to 3 parts), we can calculate the value of one part:
\[
\text{One part} = \frac{15 \text{ screws}}{3 \text{ parts}} = 5
\]

3. Now, calculate the number of nails:
- Since nails correspond to 5 parts:
\[
\text{Number of nails} = 5 \text{ parts} \times 5 = 25
\]

4. Next, calculate the number of bolts:
- Since bolts correspond to 2 parts:
\[
\text{Number of bolts} = 2 \text{ parts} \times 5 = 10
\]

5. Finally, calculate the total number of nails, screws, and bolts in the toolbox:
\[
\text{Total} = \text{Number of nails} + \text{Number of screws} + \text{Number of bolts} = 25 + 15 + 10 = 50
\]

Putting it all together, we fill in the blanks in your sentences:

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