SOLUTION: sammy and ally had a total of 448 pieces of 25-centavo coins. Aly had 7 times as many 25-centavo coins as Sammy has. How many 25- centavo coins should Ally give to Sammy so that Sa

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Question 1189503: sammy and ally had a total of 448 pieces of 25-centavo coins. Aly had 7 times as many 25-centavo coins as Sammy has. How many 25- centavo coins should Ally give to Sammy so that Sammy would give have 3 time as many coins as Ally has?
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
let s = no. of coins Sammy has
"Aly had 7 times as many 25-centavo coins as Sammy has."
therefore
7s = no. of coins Aly has
:
sammy and ally had a total of 448 pieces of 25-centavo coins.
s + 7s = 448
8s = 448
s = 56 coins Sammy has
and
a = 7*56
a = 392 coins Aly has
:
How many 25- centavo coins should Ally give to Sammy so that Sammy would have 3 time as many coins as Ally has?
Let c = no. of coins A gives S to accomplish this
56 + c = 3(392 - c)
56 + c = 1176 - 3c
c + 3c = 1176 - 56
4c = 1120
c = 1120/4
c = 280 coins A gives to S
:
:
Check this, find how many coins each has after this is done
56 + 280 = 336 coins
392 - 280 = 112 coins
3 * 112 = 336