A school has 1800 pupils. 55% of the pupils are girls. 30% of the girls and 70% pf the boys travel by bus.
a.) How many girls travel by bus?
b.) How many boys travel by bus?
c.) What percentage of the pupils travel by bus?
To find the answers to the given questions, we need to follow these steps:
Step 1: Calculate the number of girls in the school.
To find the number of girls, we need to multiply the total number of pupils by the percentage of girls.
Number of girls = 1800 * 55% = 990 girls
Step 2: Calculate the number of boys in the school.
Since we know the total number of pupils and the number of girls, we can find the number of boys by subtracting the number of girls from the total number of pupils.
Number of boys = total number of pupils - number of girls = 1800 - 990 = 810 boys
Step 3: Calculate the number of girls traveling by bus.
To find the number of girls traveling by bus, we multiply the number of girls by the percentage of girls traveling by bus.
Number of girls traveling by bus = 990 * 30% = 297 girls
Step 4: Calculate the number of boys traveling by bus.
To find the number of boys traveling by bus, we multiply the number of boys by the percentage of boys traveling by bus.
Number of boys traveling by bus = 810 * 70% = 567 boys
Step 5: Calculate the total number of pupils traveling by bus.
To find the total number of pupils traveling by bus, we add the number of girls traveling by bus and the number of boys traveling by bus.
Total number of pupils traveling by bus = Number of girls traveling by bus + Number of boys traveling by bus
= 297 girls + 567 boys
= 864 pupils
Step 6: Calculate the percentage of pupils traveling by bus.
To find the percentage of pupils traveling by bus, we divide the total number of pupils traveling by bus by the total number of pupils and multiply by 100.
Percentage of pupils traveling by bus = (Total number of pupils traveling by bus / Total number of pupils) * 100
= (864 / 1800) * 100
= 48%
Hence, the answers to the questions are:
a) 297 girls travel by bus.
b) 567 boys travel by bus.
c) 48% of the pupils travel by bus.