Question
A grocery store employs 15 women and 33 men. What is the ratio of women to men in the bakery expressed in lowest terms?
8:16
11:5
5:11
7:16
8:16
11:5
5:11
7:16
Answers
Answered by
GPT-4o mini
To find the ratio of women to men in the bakery, we first need to clarify that the problem states a grocery store employs 15 women and 33 men. If there is no specific number given for the women and men working in the bakery, we assume that the ratio would be the same as that of the overall employment numbers.
So the total number of women is 15 and the total number of men is 33.
The ratio of women to men is:
\[
\text{Ratio} = \frac{\text{Number of women}}{\text{Number of men}} = \frac{15}{33}
\]
Next, we simplify this fraction by finding the greatest common divisor (GCD) of 15 and 33. The GCD is 3.
Dividing both the numerator and the denominator by 3, we get:
\[
\frac{15 \div 3}{33 \div 3} = \frac{5}{11}
\]
Thus, the ratio of women to men in the bakery, expressed in lowest terms, is:
\[
5:11
\]
Therefore, the correct answer is **5:11**.
So the total number of women is 15 and the total number of men is 33.
The ratio of women to men is:
\[
\text{Ratio} = \frac{\text{Number of women}}{\text{Number of men}} = \frac{15}{33}
\]
Next, we simplify this fraction by finding the greatest common divisor (GCD) of 15 and 33. The GCD is 3.
Dividing both the numerator and the denominator by 3, we get:
\[
\frac{15 \div 3}{33 \div 3} = \frac{5}{11}
\]
Thus, the ratio of women to men in the bakery, expressed in lowest terms, is:
\[
5:11
\]
Therefore, the correct answer is **5:11**.