SOLUTION: there are 3 times as many pears as oranges. If a group of children receives 5 organges each, there will be no oranges left over. If the same group of children receives 8 pears each

Algebra ->  Inverses -> SOLUTION: there are 3 times as many pears as oranges. If a group of children receives 5 organges each, there will be no oranges left over. If the same group of children receives 8 pears each      Log On


   

Question 35206: there are 3 times as many pears as oranges. If a group of children receives 5 organges each, there will be no oranges left over. If the same group of children receives 8 pears each, there will be 21 pears left over. How many children and organges are there?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
there are 3 times as many pears as oranges. If a group of children receives 5 organges each, there will be no oranges left over. If the same group of children receives 8 pears each, there will be 21 pears left over. How many children and organges are there?
Let the number of oranges be x.
Then number of pears is 3x.
Let the number of children in the group be "y".
EQUATION:
5y=x
8y=3x-21
Solve for x and y:
8y=3(5y)-21
7y=21
y=3 (number of children is 3)
x=5y=5(3)=15 (number of oranges)
3x=15 (number of pears)
Cheers,
Stan H.