SOLUTION: One night a waiter received $11.30 in tips in coins. He had three times as many dimes as nickels, and 10 more quarters than dimes. Find the number of each type of coin. CAN YOU

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: One night a waiter received $11.30 in tips in coins. He had three times as many dimes as nickels, and 10 more quarters than dimes. Find the number of each type of coin. CAN YOU      Log On


   

Question 1168744: One night a waiter received $11.30 in tips in coins. He had three times as many dimes as nickels, and 10
more quarters than dimes. Find the number of each type of coin.
CAN YOU ALSO PLEASE DO THE GUESS METHOD
THANK YOU VERY MUCH
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28d%2Fn=3%2Cq-d=10%2C5n%2B10d%2B25q=1130%29

The first two equations can be expressed one variable in terms of d.'
system%28n=d%2F3%2Cq=d%2B10%29

and the money equation can be simplified: n%2B2d%2B5q=226.

Substituting for n and q,
d%2F3%2B2d%2B5%28d%2B10%29=226
-
d%2F3%2B2d%2B5d%2B50=226
d%2F3%2B7d=176
d%2B21d=528
22d=528
highlight%28d=24%29------------from this, find values for n and q.