Question

IF 3 STUDENTS SIT ON EACH BENCH , 2 BENCHES ARE LEFT VACANT. HOWEVER IF 2 STUDENTS SIT ON EACH BENCH , 2 STUDENTS ARE LEFT STANDING. HOW MANY STUDENTS ARE THERE IN THE CLASS??


(please give step by step answer)
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Answer 1

Answer:

The number of students is 48

Explanation:

Let the number of students = y

let the number of benches = x

from the first statement

y = 4x −12

(three empty benches * 4 students)

from the second statement

y=3x+3

Substituting equation 2 into equation 1

3x+3=4x−12

rearranging

x=15

Substituting the value for x in equation 2

y=3⋅15+3=48