The ratio of boys to girls at a day care cent is 5 to 4. Which of the following cannot be the total number of children at the center?
A. 27 children
B. 54 children
C. 60 children
D. 72 children
Is the answer 60. The reason I chose 60 children is because the total number of children is 9. 9 cannot go into 60.
Is my answer correct?
Yes! Thank you!
60
So, it's 60?
i think its 60.
To determine which option cannot be the total number of children at the center, let's first calculate the number of boys and girls in each option based on the given ratio.
The ratio of boys to girls is 5 to 4, which means that for every 5 boys, there are 4 girls.
A. For 27 children, we can calculate the number of boys and girls:
Boys = (5/9) * 27 = 15
Girls = (4/9) * 27 = 12
B. For 54 children:
Boys = (5/9) * 54 = 30
Girls = (4/9) * 54 = 24
C. For 60 children:
Boys = (5/9) * 60 = 33.33 (rounded to 33)
Girls = (4/9) * 60 = 26.67 (rounded to 27)
D. For 72 children:
Boys = (5/9) * 72 = 40
Girls = (4/9) * 72 = 32
Now let's check each option:
A. The number 27 can be divided by 9, so it is a possible answer.
B. The number 54 can also be divided by 9, so it is a possible answer.
C. The number 60 can be divided by 9 without any remainder, so it is also a possible answer.
D. The number 72 can be divided by 9, so it is a possible answer.
From the calculations, it appears that all the given options can be the total number of children at the center. Therefore, your answer of 60 children being the incorrect option is not correct. The correct answer is that all options given can be the total number of children at the center.
correct
Did you notice that your thinking was along the same lines as that in your previous problem?