The ratio of nails to screws to bolts is given as 5:3:2. Since there are 15 screws in the toolbox, we can use the ratio to find the number of nails and bolts.
To find the number of nails, we can set up the ratio:
- Nails (N) = 5 parts
- Screws (S) = 3 parts (and we know S = 15)
- Bolts (B) = 2 parts
From the ratio, we can express the number of nails (N) in terms of screws (S):
\[ \frac{N}{S} = \frac{5}{3} \]
Since S = 15, we can set up the equation:
\[ N = \frac{5}{3} \times S = \frac{5}{3} \times 15 = 25 \]
So, there are 25 nails in the toolbox.
Next, we need to find the number of bolts (B):
\[ \frac{B}{S} = \frac{2}{3} \]
Again using S = 15:
\[ B = \frac{2}{3} \times 15 = 10 \]
Now we have:
- Nails = 25
- Screws = 15
- Bolts = 10
To find the total number of nails, screws, and bolts:
\[ \text{Total} = N + S + B = 25 + 15 + 10 = 50 \]
So we can complete the sentences:
There are 25 nails in the toolbox.
The toolbox contains a total of 50 nails, screws, and bolts.
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