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Question

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?

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Answer

Can be solved by algebra, model or guess and check. The last method should be least encouraged at this level.
35 adults, 45 children.

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Easiest and fastest to solve by algebra.

Let no. of adults be x and no. of children be y

x + y = 80
=> x = 80 -y

2x + 1/3y = 85
2(80-y) + 1/3y = 85

Solve for y and x.
x = 35, y – 45

Ref: http://www.kiasuparents.com/kiasu/forum/viewtopic.php?p=1818#p1818

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