One-third of the class grew peas, one-third grew carrots, and one-third grew beans. The class consisted of 63 students of which

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One-third of the class grew peas, one-third grew carrots, and one-third grew beans. The class consisted of 63 students of which

five-sevenths were girls. The teacher chose the three groups to be as equal in their boy-girl composition as possible. How many boys and girls were assigned to each team?

Mathematics

1 answer:

olga_2 [115] · Answer 1 · 2023-02-06T22:16:35+03:00

The number of boys and girls assigned to each team is 6 and 15 respectively.

<h3>Fraction</h3>

Number of students in class = 63

Number of students who grows peas = 1/3 × 63

= 63/3

= 21 students

Number of students who grows carrots = 21
Number of students who grows beans = 21

Number of girls = 5/7 × 63

= 315/7

Number of girls = 45 students

Number of boys = 63 - 45 = 18 students

If the three groups have equal composition of boys and girls, then,

Number of boys and girls in each group is 6 and 15 respectively.

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