Question
Colette operates an orange juice stand. On Monday she used 1/6 of a bag of oranges. On Tuesday she used 9/10 as many oranges as on Monday. How many bags of oranges did Colette use on Tuesday?
Write your answer as a fraction or as a whole or mixed number.
bags
Write your answer as a fraction or as a whole or mixed number.
bags
Answers
GPT-4o mini
To find out how many bags of oranges Colette used on Tuesday, we first need to determine how many bags she used on Monday and then calculate the amount used on Tuesday based on that.
On Monday, Colette used \( \frac{1}{6} \) of a bag of oranges.
On Tuesday, she used \( \frac{9}{10} \) as many oranges as she did on Monday. Thus, to calculate the amount she used on Tuesday, we multiply the amount used on Monday by \( \frac{9}{10} \):
\[
\text{Amount used on Tuesday} = \frac{9}{10} \times \frac{1}{6}
\]
Now we perform the multiplication of the fractions:
\[
\frac{9}{10} \times \frac{1}{6} = \frac{9 \times 1}{10 \times 6} = \frac{9}{60}
\]
Next, we can simplify \( \frac{9}{60} \). Both the numerator and the denominator can be divided by 3:
\[
\frac{9 \div 3}{60 \div 3} = \frac{3}{20}
\]
So, the amount of bags of oranges Colette used on Tuesday is:
\[
\frac{3}{20}
\]
Thus, the answer is:
\[
\boxed{\frac{3}{20}}
\]
On Monday, Colette used \( \frac{1}{6} \) of a bag of oranges.
On Tuesday, she used \( \frac{9}{10} \) as many oranges as she did on Monday. Thus, to calculate the amount she used on Tuesday, we multiply the amount used on Monday by \( \frac{9}{10} \):
\[
\text{Amount used on Tuesday} = \frac{9}{10} \times \frac{1}{6}
\]
Now we perform the multiplication of the fractions:
\[
\frac{9}{10} \times \frac{1}{6} = \frac{9 \times 1}{10 \times 6} = \frac{9}{60}
\]
Next, we can simplify \( \frac{9}{60} \). Both the numerator and the denominator can be divided by 3:
\[
\frac{9 \div 3}{60 \div 3} = \frac{3}{20}
\]
So, the amount of bags of oranges Colette used on Tuesday is:
\[
\frac{3}{20}
\]
Thus, the answer is:
\[
\boxed{\frac{3}{20}}
\]