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.
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.
