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

Question 35200: 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 venugopalramana(3286) (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 ORANGES=X
PEARS ARE 3 TIMES =3X
LET CHILDREN=Y
IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X
X=5Y........................I
IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS
8Y+21=3X....................II
SUBSTITUTING FOR X FROM EQN.I..
8Y+21=3*5Y
15Y-8Y=21
7Y=21
Y=3
X==5Y=5*3=15..
SO CHILDREN =3
ORANGES=15
PEARS=3*15=45

RELATED QUESTIONS
there are 3 times as many pears as oranges. If a group of children receives 5 organges... (answered by stanbon)

There are 3 times as many pears as oranges. A group of children receive 5 oranges abd 8... (answered by AnlytcPhil)

(2) There are 3 times as many pears as oranges.A group of children receive 5 oranges and (answered by greenestamps)

Use colored pencils to create a bird's eye view drawing that shows the LEAST number of... (answered by MathLover1)

set up and solve: There are 24 pieces of fruit in a basket. There are twice as many... (answered by funmath)

Some children are sharing oranges among themselves.If each gets 9 orange, no orange will... (answered by josmiceli)

THERE WILL BE 15 ORANGES LEFT IF EACH CHILD AT A PARTY IS GIVEN 5, BUT 3 TOO FEW IF YOU... (answered by MathLover1)

if there are 48 oranges and mary takes home 5 times more than chris. how many organges... (answered by checkley79)

The oranges produced by an orchard are packed in boxes. Each box contains 60 oranges. On... (answered by Theo)