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A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some children take 5 pieces, and 1 child takes 7 pieces of candy. How many children take 3 pieces of candy?

 

I have no idea what to do.

 Jul 21, 2020
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85 - 7 candies taken by 1 child =78 candies left.

 

78 candies are distibuted among remaining 18 children

 

A + B =18

78 =3*A + 5*B, solve for A and B

 

A = 6 children who took 3 candies each.

B = 12 children who took 5 candies each.

 

Check:[6*3 + 5*12 + 1*7] =[18 + 60 + 7] = 85 candies.

 Jul 21, 2020
edited by Guest  Jul 21, 2020

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