There are 85 plates of fried noodle for 80 people. Each adult eats 2 plates of fried noodle and every three children share 1 plate of fried noodle. How many adults and children are there?

Answers (1)
S safeer

Let the number of adult be x and children be y, then

x+y=80.........(1) (total number of people)

Also

2x+y/3=85 (given one adult eats 2 plate noodle and 3 children eat 1 plate noodle. So one child eat 1/3 plate noodle. Also given total plates of noodle is 85)

that is 

6x+y=255........(2)

Solve (1) and (2)

(2)-(1) implies

5x=175

x=35

So the number of adult is 35. From equation (1)

y=80-x=80-35=45

So there are 35 adults and 45 children. 

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