Answered

As part of the 'Learning Journey' program, 73 pupils travelled on two buses, one air-
conditioned and one non-air conditioned, to the Singapore Discovery Centre. Three-fifths of
the pupils on the air-conditioned bust were girls. There were 17 boys in the non-air
conditioned bus. The number of girls on the two buses were equal. How many pupils were
there on the air conditioned bus?



Answer :

Answer:

There were 35 pupils on the air conditioned bus.

Step-by-step explanation:

We can find out the number of pupils on the air conditioned bus (AC) by this way:

Let [tex]x[/tex] = number of pupils on the AC bus

Then the number of girls on either bus = [tex]\displaystyle\frac{3}{5} x[/tex]

Total number of pupils on non air conditioned bus (nonAC)

= girls on nonAC + boys on nonAC

= [tex]\displaystyle\frac{3}{5} x+17[/tex]

Total number of pupils = pupils on AC + pupils on nonAC

                                 [tex]\displaystyle73=x+\left(\frac{3}{5} x+17\right)[/tex]

                         [tex]\displaystyle 73-17=x+\frac{3}{5} x[/tex]

                                [tex]\displaystyle\frac{8}{5} x=56[/tex]

                                  [tex]\displaystyle x=56\div\frac{8}{5}[/tex]

                                  [tex]\bf x=35[/tex]