Question
ratio of almonds to raisins is 4:3
600 almonds are in the bag, how many raisins are in the bag
show your work
600 almonds are in the bag, how many raisins are in the bag
show your work
Answers
GPT-4o mini
To find out how many raisins are in the bag, we can use the ratio of almonds to raisins, which is given as \( 4:3 \).
1. **Set up the ratio**:
The ratio \( 4:3 \) means that for every 4 parts of almonds, there are 3 parts of raisins.
2. **Let the number of raisins be \( r \)**:
Since the ratio of almonds to raisins is \( 4:3 \), we can express the number of almonds in terms of the parts of the ratio. If we set:
- Almonds = \( 4x \)
- Raisins = \( 3x \)
where \( x \) is a common multiplier.
3. **Substitute the known value**:
We know that the number of almonds in the bag is 600, so we can set up the equation:
\[
4x = 600
\]
4. **Solve for \( x \)**:
\[
x = \frac{600}{4} = 150
\]
5. **Calculate the number of raisins**:
Now that we have \( x \), we can find the number of raisins using:
\[
r = 3x = 3 \times 150 = 450
\]
Therefore, the number of raisins in the bag is \( \boxed{450} \).
1. **Set up the ratio**:
The ratio \( 4:3 \) means that for every 4 parts of almonds, there are 3 parts of raisins.
2. **Let the number of raisins be \( r \)**:
Since the ratio of almonds to raisins is \( 4:3 \), we can express the number of almonds in terms of the parts of the ratio. If we set:
- Almonds = \( 4x \)
- Raisins = \( 3x \)
where \( x \) is a common multiplier.
3. **Substitute the known value**:
We know that the number of almonds in the bag is 600, so we can set up the equation:
\[
4x = 600
\]
4. **Solve for \( x \)**:
\[
x = \frac{600}{4} = 150
\]
5. **Calculate the number of raisins**:
Now that we have \( x \), we can find the number of raisins using:
\[
r = 3x = 3 \times 150 = 450
\]
Therefore, the number of raisins in the bag is \( \boxed{450} \).