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 has wee girls. There were 17 boys in the non-at, conditioned bus. The number of girls on the two buses were equal. How many pupils wee there on the air-conditioned bus?

Question

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 has wee girls. There were 17 boys in the non-at, conditioned bus. The number of girls on the two buses were equal. How many pupils wee there on the air-conditioned bus?

Answer 1

"The number of girls on the two buses were equal"

let the number of girls on each bus be x

So the number of students on the nonAC bus = x+17
and the number of students on the AC bus = 73-x-17 = 56-x

(3/5)(56-x) = x
168 - 3x = 5x
8x=168
x = 21

so on the AC bus we had 56-x = 56-21 = 35
of which 21 were girls and 14 were boys

on the nonAC bus we has 21 girls and 17 boys

check:
total = 21+14+21+17 = 73
is (3/5)(35) = 21 ? YES!
All is good!

btw, what are wee girls?
Always check for typing errors before posting

Answer 2

To find the number of pupils on the air-conditioned bus, we can solve the problem step by step.

Let's start by breaking down the given information:

1. The total number of pupils who traveled on two buses is 73.
2. One bus is air-conditioned, and the other bus is non-air-conditioned.
3. Three-fifths of the pupils on the air-conditioned bus were girls.
4. There were 17 boys on the non-air-conditioned bus.
5. The number of girls on the two buses was equal.

Let's use variables to represent the unknowns in the problem:

Let 'x' be the total number of pupils on the air-conditioned bus.
Let 'y' be the total number of girls on the air-conditioned bus.

Using the given information, we can set up equations:

1. The total number of pupils on both buses is 73:
x + 17 = 73
x = 73 - 17
x = 56

2. Three-fifths of the pupils on the air-conditioned bus were girls:
(3/5) * x = y

3. The number of girls on the air-conditioned bus is equal to the number of girls on the non-air-conditioned bus:
y = (73 - x) - 17

Now, we can substitute the value of 'x' from equation 1 into equations 2 and 3:

(3/5) * 56 = y
168/5 = y
y = 33.6 (rounding to the nearest whole number, y = 34)

y = (73 - 56) - 17
y = 73 - 73 + 56 - 17
y = 56 - 30
y = 26

So, there were 56 pupils on the air-conditioned bus.