in a class there are 4 boys for every 6 girls. there are 54 pupils. how many boys are there?
that is the do or die question in the math challenge... their answer was 24... and i can't really figure it out how they get the 24....
but steve thanks anyway....
If the answer is 24, then there must have been 60 pupils in the class. 24 boys, 36 girls.
that's right....
To find out how many boys are in the class, we need to determine the ratio between boys and girls. From the information given, we know that for every 4 boys, there are 6 girls.
Step 1: Calculate the ratio
To simplify the ratio, divide both the number of boys and girls by their common factor, which is 2 in this case. We can then write the ratio as 2 boys to 3 girls.
Step 2: Determine the total number of parts
Add the parts of the ratio together: 2 + 3 = 5. There are 5 parts in the ratio.
Step 3: Divide the total number of pupils by the total number of parts in the ratio
Since there are 54 pupils in the class, divide 54 by 5: 54 ÷ 5 = 10.8.
Step 4: Calculate the number of boys
Multiply the number of parts dedicated to boys (2) by the value obtained in Step 3: 2 × 10.8 = 21.6.
Since we can't have a fraction of a person, we must round the answer to the nearest whole number. Therefore, there are approximately 22 boys in the class.
if there are 4x boys, there are 6x girls.
4x+6x=54
10x=54
x=5.4
so, there are 21.6 boys and 32.4 girls.
a strange solution. Are you sure there was no mistake in the question as written?
Unless, of course, not all the boys and girls are pupils.