SOLUTION: Please help me solve this, a coin collector has 2.45 in nickels and dimes. She has 5 times as many nickels as dimes. How many does she have of each coin? 123408@houndmail.macc.e

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Question 733000: Please help me solve this,
a coin collector has 2.45 in nickels and dimes. She has 5 times as many nickels as dimes. How many does she have of each coin?
123408@houndmail.macc.edu

Found 3 solutions by lynnlo, ikleyn, josgarithmetic:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ikleyn(53250) About Me  (Show Source):
You can put this solution on YOUR website!
.
a coin collector has 2.45 in nickels and dimes. She has 5 times as many nickels as dimes.
How many does she have of each coin?
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This problem is ideal to solve it mentally, without using equations.


Indeed, according to the problem, we can group the coins in sets, 
each containing 5 nickels and one dime.


Each such set is worth 5*5 + 10 = 35 cents.

Hence, the number of sets is  245%2F35 = 7.


So, the coin collector has 7 dimes and 5*7 = 35 nickels.


CHECK.  7*10 + 35*5 = 245 cents = $2.45.   ! correct !

Solved.



Answer by josgarithmetic(39663) About Me  (Show Source):
You can put this solution on YOUR website!
d dimes
5d nickels
10d%2B5%2A5d=245

2d%2B5d=49
7d=49
d=7

35 nickels and 7 dimes

check: 5*35+10*7=175+70=245