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:
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Identify the parts of the ratio:
- Nails: 5 parts
- Screws: 3 parts
- Bolts: 2 parts
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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: \[ \text{One part} = \frac{15 \text{ screws}}{3 \text{ parts}} = 5 \]
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Now, calculate the number of nails:
- Since nails correspond to 5 parts: \[ \text{Number of nails} = 5 \text{ parts} \times 5 = 25 \]
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Next, calculate the number of bolts:
- Since bolts correspond to 2 parts: \[ \text{Number of bolts} = 2 \text{ parts} \times 5 = 10 \]
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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.