insanePaPa:Sec1 Qn:
A class has between 30 to 40 students. Each boy in the class brings 15 chocolates for a class party. The chocolates are shared equally among 20 girls and a teacher with no leftovers.
i) How many students are there in the class?
ii) How many chocolates does their teacher receive?
:thankyou:
Hi insanePapa,
Since there are between 30-40 students in the class, there should be between 10-20 boys (after deducting 20 girls).
If each boy brings 15 chocolates for the party, and the total chocolates are shared among 20 girls + 1 teacher = 21 people, we must find the number of boys such that when it is multiplied by 15 chocolates, the total number of chocolates can be divided equally among 21 people.
15 = 3 x 5
21= 3 x 7
Hence, possible values for the number of boys will be 7, 14, 21, etc.
Since we know that the value should be between 10-20, the number of boys should be 14.
i) Number of students in the class = 20 girls + 14 boys = 34.
ii) Each of the 20 girls & 1 teacher will receive 15 x 14 / 21 = 10 chocolates. Hence, answer is 10.
Cheers!
Jtutor