Given the ratio of nails to screws to bolts is 5:3:2, we can set up the relationship:
Let the number of nails be \( 5x \), the number of screws be \( 3x \), and the number of bolts be \( 2x \).
We know there are 15 screws in the toolbox. Therefore, we can set up the equation:
\[ 3x = 15 \]
To find \( x \), we divide both sides by 3:
\[ x = 5 \]
Now we can find the number of nails and bolts:
- Number of nails: \( 5x = 5 \times 5 = 25 \)
- Number of screws: \( 3x = 15 \) (given)
- Number of bolts: \( 2x = 2 \times 5 = 10 \)
Now we can answer the questions:
There are 25 nails in the toolbox.
The toolbox contains a total of 50 nails, screws, and bolts (25 nails + 15 screws + 10 bolts = 50).
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