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?

g/2 on each bus

b-17 on ac bus, 17 boys on hot bus

g + b = 73 so b = 73-g

on ac bus:
3/5[ g/2 + (b-17)] = g/2

6 [g/2 + (56-g)] = 5g

3 g - 6 g + 336 = 5 g

8 g = 336

g = 42 girls total
b = 73 - g = 31 boys total
so on ac bus
g/2 = 21
b-17 = 14
35 total on ac bus

To solve this problem, we'll break it down step-by-step:

Step 1: Let's represent the total number of pupils on the air-conditioned bus as "A" and the total number of pupils on the non-air-conditioned bus as "N".

Step 2: Given that three-fifths of the pupils on the air-conditioned bus were girls, we can find the number of girls on the air-conditioned bus by multiplying three-fifths (3/5) by the total number of pupils on the air-conditioned bus: (3/5)A.

Step 3: We are also told that there were 17 boys on the non-air-conditioned bus. So, the total number of boys on both buses is 17.

Step 4: We know that the number of girls on the air-conditioned bus is equal to the number of girls on the non-air-conditioned bus. So, we can set up an equation: (3/5)A = A - 17.

Step 5: Solve the equation for A:

(3/5)A = A - 17

Multiply both sides of the equation by 5 to clear the fraction:
3A = 5A - 85

Simplify:
85 = 2A

Divide both sides of the equation by 2:
A = 42.5

Since the number of pupils cannot be a decimal value, we can conclude that there was a mistake in the given information or in the way the problem was presented.

To find out how many pupils were on the air-conditioned bus, we can break down the information given step by step.

1. Let's start with the information that three-fifths of the pupils on the air-conditioned bus were girls. This means that if we divide the pupils on the air-conditioned bus into 5 equal parts, 3 parts would represent girls.

2. Since the number of girls on the two buses is equal, we can assume that the remaining 2 parts (since there are 5 parts total) represent boys.

3. We know that there were 17 boys on the non-air-conditioned bus. So, each part represents 17 boys divided by 2 boys per part, which gives us 8.5 parts.

4. Since we can't divide the pupils into fractional parts, we need to round up or down. In this case, we need to round up because we can't have half of a pupil.

5. Rounding up 8.5 parts gives us 9 parts.

6. Since 3 parts represent girls, we can multiply 3 by 9 to find the total number of pupils on the air-conditioned bus.

Thus, there were 27 pupils on the air-conditioned bus.

How did u get 42 ??? I still dont understand