Question

There are 96 girls and 72 boys who want to participate in 6th grade intramurals .If each team has the same number of girls and the same number of boys,How many boys and girls will be on each team?

Answer 1

Answer:

by taking Hcf of 96 and 72 we get 4 so each team have 4

Answer 2

'24' teams can be made with each team having 4 girls and 3 boys.

Given that,

No. of girls = 96

No. of boys = 72

Since the number of teams is not given, we will find by finding out the GCF(Greatest Common factor) of 96 and 72.

96 = 2 * 2 * 2 * 2 * 2 * 3

72 = 2 * 2 * 2 * 3 * 3

GCF = 2 * 2 * 2 * 3 = 24

Thus, a maximum of 24 teams can be formed. The number of girls and boys in each of these teams would be:

No. of girls in each team = Total girls/no. of teams

= 96/24

= 4 girls

No. of boys in each team = Total boys/no. of teams

= 72/24

= 3 boys

Thus, each team will have 4 girls and 3 boys.

Learn more about 'Greatest Common factor' here:

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