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 By: chino (offline)  Thursday, October 13 2011 @ 04:48 AM CDT (Read 1841 times)
chino

There are 85 plates of fried noodles for 80 people. Each adult eats 2 plates of fried noodles and every 3 children share 1 plate of fried noodles. How many adults and how many children are there?
pls helpl as i need other method beside guess check.
Thank you.

Newbie

Registered: 03/14/10
Posts: 14

 By: myluckystar111 (offline)  Friday, October 14 2011 @ 07:57 AM CDT
myluckystar111

Hi,
this is the best solution i could think of:

85 is divisible by 5, which gives 17

Lets take
1 Adult + 3 Children ---> 3 plates of noodles

Multiply the above by 17
17 Adults + 51 Children ---> 51 plates of noodles (this is wrong)

Let's take
2 Adults + 3 Children ---> 5 plates of noodles

Multiply the above by 17
34 Adults + 51 Children ---> 85 plates of noodles

Ans: 34 Adults & 51 Children.

Hope this helps.

Junior

Registered: 09/05/11
Posts: 15

 By: GIM (offline)  Friday, October 14 2011 @ 08:47 AM CDT
GIM

Extracted info :
Total people = 80
Total plates = 85
1 Adults eats 2 plates
1 Child eats 1/3 plate

1) Assume all the people were children
80 child x 1/3 plate = 80/3

2) Difference between actual plates minus answer from step 1
85 plates - 80/3 plates = 175/3 plates(in excess)

3) Difference in consumption between adult and child
2 plates - 1/3 plate = 5/3 plate

4) To convert a child to a adult, need to add 5/3 plate to each child
Take answer from step 2 divide by answer in step 3
175/3 divide 5/3 = 175/3 x 3/5 = 35 (Number of adults)

5) Number of children = 80 - 35 = 45 ( Final answer)

Regular Member

Registered: 11/07/10
Posts: 70

 By: chino (offline)  Friday, October 14 2011 @ 09:01 PM CDT
chino

Thank you.

i understand your solution.
my boy cant do fraction division yet.
have to teach him.

Newbie

Registered: 03/14/10
Posts: 14

 By: nisalam (offline)  Wednesday, October 19 2011 @ 11:01 AM CDT
nisalam

This is the way I would teach my child:
1 adult eats 2 plates.
3 children eat 1 plate, so 9 children eat 3 plates.
Altogether 10 people eat 5 plates, so 170 (17 x 10) people eat 85 (17 x 5) plates.
Of these 17 are adults (1 x 17) and 153 are children (9 x 17).

Junior

Registered: 04/29/10
Posts: 30

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