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## At a children’s show, 2/7 of the people attending were adults.The rest were children.2/5 of the children were boys.There were 120 girls atte

Question

At a children’s show, 2/7 of the people attending were adults.The rest were children.2/5 of the children were boys.There were 120 girls attending the performance. A.How many children were there at the children’s show?B.How many people were there at the children’s show?

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Mathematics
2 months
2021-09-02T15:00:09+00:00
2021-09-02T15:00:09+00:00 1 Answers
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## Answers ( )

Answer:A. 200 Children

B. 280 People

Step-by-step explanation:Let the total number of people attending the show be Y

Given that 2/7 of the people attending were adults, the number of adults A

A = 2/7 Y

Since the rest were children, the number of children C

C = Y – 2/7 Y

= 5/7 Y

2/5 of the children were boys, the number of boys B

B = 2/5 * 5/7Y

= 2/7 Y

The number of Girls G

G = 5/7 Y – 2/7 Y

= 3/7 Y

Given that there were 120 girls attending the performance

3/7 Y = 120

3Y = 120 * 7

Y = 120 * 7/3

= 280

The number of children in the shown C

= 5/7 * 280

= 200

The number of people at the show is Y = 280