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