SOLUTION: When the piñata burst at Amy’s party, she was able to grab 48 pieces of candy, which was 3/7 of the candy that fell out of the piñata. She was thrilled until she noticed that som

Algebra.Com
Question 839004: When the piñata burst at Amy’s party, she was able to grab 48 pieces of candy, which was
3/7 of the candy that fell out of the piñata. She was thrilled until she noticed that some of
her friends did not get any candy. If everyone put their candy back into one pile, and the
candy was then distributed evenly amongst Amy and her six friends, how many pieces of
candy did each of Amy’s friends receive?

Answer by PRMath(133)   (Show Source): You can put this solution on YOUR website!
When you want to know the percent or fraction of a number you always multiply.
SO! When Amy grabbed 3/7 of the candy, she had 48 pieces. This means that 3/7 of a certain number is 48. If we say "x" is the unknown, then we know this applies:
3/7(x) = 48 Now we solve. Multiply both sides by 7 and we get:
3x = 336 Divide both sides by 3 and we get:
x = 112.
THEREFORE, originally there were 112 pieces of candy in the pinata. Now all those pieces of candy must be distributed between Amy and her six friends. There are 7 people in all, so we divide 112 by 7 and we get:
16

RELATED QUESTIONS

Cassy had a bag of candy and was heading to the playground when she was intercepted by... (answered by solver91311,Edwin McCravy)
There are two candy jars, each of which contains the same number of pieces of candy.... (answered by stanbon)
There are two candy jars, each of which contains the same number of pieces of candy.... (answered by Theo)
Emily and Julia shared some candy in the ratio 7:4 . When Julia gave 87 pieces of candy... (answered by richwmiller)
Britney is going to the candy store to buy 20 pieces of candy. She is going to buy... (answered by lwsshak3,josgarithmetic)
3. You have a bag containing 4 pieces of red candy, 2 pieces of green candy, and 3 pieces (answered by vleith)
Last year, after Ariel, Ollie and Eden went trick or treating, they combined all their... (answered by stanbon)
25% of the candy that Jaxson received was chocolate. If he got 420 pieces of candy, how... (answered by josgarithmetic)
. Allie bought 1 piece of candy from a store on Sunday. The next day she bought 3 times... (answered by josgarithmetic)