There are 40 girls and 32 boys who want to participate in the relay race. If each team has the same number of girls and boys, what will be the greatest number of teams that can race? How many boys and girls will be in each team
Answers
Answer:
A factor is a number that is multiplied to give the result.
The Greatest Common Factor is the largest number that is a factor of the values considered.
In terns of Prime Factors,
40 = 2 * 2 * 2 * 5
32 = 2 * 2 * 2 * 2 * 2
These two values share (2*2*2), so that is the GCF. The GCF=8.
There can be, at most, 8 teams (note: with 5 girls and 4 boys, the other factor for each value, on each team).
Answer: 8 teams with 5 girls and 4 boys
Step-by-step explanation:
Given :
Number of girls = 40
Number of boys = 32
To find :
Number of teams that can be formed and number of boys and girls in each team
To find this we need to find greatest common factor of the number of total girls and boys i.e. 40 and 32 respectively,
Hence by prime factorisation we get
40 = 2 x 2 x 2 x 5
32 = 2 x 2 x 2 x 2 x 2
Thus the common factors shared by 40 and 32 is ( 2 x 2 x 2)
Hence the GCF = 2x 2x 2
= 8.
Thus we can conclude that there can be, at most 8 teams in the maximum including 5 girls and 4 boys in each team
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