Question
In a recipe for pizza sauce, the ratio of cans of tomatoes to teaspoons of oregano is 1, colon, 41:4. How many teaspoons of oregano do you need for six cans of tomatoes?
Answers
GPT-4o mini
To find out how many teaspoons of oregano are needed for six cans of tomatoes based on the given ratio of 1 can of tomatoes to 41/4 teaspoons of oregano, we can set up a proportion.
The ratio indicates that for every 1 can of tomatoes, you need \( \frac{41}{4} \) teaspoons of oregano.
For 6 cans of tomatoes, we multiply the amount of oregano needed for 1 can by 6:
\[
\text{Oregano for 6 cans} = 6 \times \frac{41}{4}
\]
Now we calculate this:
1. First, calculate \( 6 \times \frac{41}{4} \):
\[
= \frac{6 \times 41}{4} = \frac{246}{4}
\]
2. Now, simplify \( \frac{246}{4} \):
\[
= 61.5
\]
Thus, for six cans of tomatoes, you need **61.5 teaspoons of oregano**.
The ratio indicates that for every 1 can of tomatoes, you need \( \frac{41}{4} \) teaspoons of oregano.
For 6 cans of tomatoes, we multiply the amount of oregano needed for 1 can by 6:
\[
\text{Oregano for 6 cans} = 6 \times \frac{41}{4}
\]
Now we calculate this:
1. First, calculate \( 6 \times \frac{41}{4} \):
\[
= \frac{6 \times 41}{4} = \frac{246}{4}
\]
2. Now, simplify \( \frac{246}{4} \):
\[
= 61.5
\]
Thus, for six cans of tomatoes, you need **61.5 teaspoons of oregano**.