120 students are asked whether they like biology or chemistry or physics best.
52 of the students are in year 11, the rest are in year 10.
45 students like physics best.
20 of the year 11 students like biology best
16 of the 30 students who like chemistry best are in year
10.
Work out how many year 10 students like physics best.
(4 marks)

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have