school choir is made up of girls and boys in the ratio 4:3.
There are 35 students in the choir altogether
.
How many of the students are boys?
Answers
Answer:
When you think of ratio, imagine it this way. A ratio literally means a fraction. So, we can visualise it a similar way: a pie. Or a pizza, if you like.
In the pie, there are two groups. One are the boys and one are the girls. When you say their ratio is 3:4, it means that for every 3 boys there are 4 girls. This means that the number of boys can be represented as 3 units and the number of girls as 4 units. We just do not know how many students one unit represent, but any one unit is equal in a ratio, no matter how many groups there are.
Hence, imagine the pie as being divided into 3 slices + 4 slices. That makes 7 slices. Now we need to find out how many students forms one slice.
We know that the whole pie is made up of 35 students. There are 7 slices in the pie. Hence, to find the number of students in a slice, simply divide 35 by 7:
Hope this answer helps you
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LET THE COMMON RATIO BE - x
therefore,we get 4x and 3x
ACCORDING TO THE QUESTION,
4x+3x=35
7x=35
x=35/7
x=5
BOYS STUDENTS THERE=3x
=3*5
=15