Question

There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?

Answer 1

The number of students that play hockey is 7

The proportion is given as:

$Piano =\frac 12$

$Hockey =\frac 14$

$School\ Play =\frac 17$

The total number of students must be a multiple of 2, 4 and 7 less than 30;

The only multiple of 2, 4 and 7 less than 30 is 28.

The number of students that play hockey is the product of 28 and the proportion that plays hockey.

So, we have:

$Hockey =\frac 14 \times 28$

Multiply

$Hockey =7$

Hence, 7 students play hockey

Read more about common multiples at:

https://brainly.com/question/290451