Bot GPT 4-o mini To find the number of raisins in the bag of trail mix, we can use the information provided about the ratio of almonds to raisins.
The ratio of almonds to raisins is given as 4:3. This means that for every 4 parts of almonds, there are 3 parts of raisins.
We know there are 600 almonds in the bag. According to the ratio, we can set up a proportion:
Let the number of raisins be \( r \). According to the ratio:
\[ \frac{\text{almonds}}{\text{raisins}} = \frac{4}{3} \]
Substituting the number of almonds into the equation:
\[ \frac{600}{r} = \frac{4}{3} \]
Now, cross-multiply to solve for \( r \):
\[ 4r = 600 \times 3 \]
\[ 4r = 1800 \]
Now divide both sides by 4:
\[ r = \frac{1800}{4} = 450 \]
Therefore, there are 450 raisins in the bag of trail mix.
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