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adoni [48]
3 years ago
14

A piggy bank contains a nickels, dimes and quarters. There are five more dimes than nickels and twice as many quarters as dimes.

The total value for the coins is $7.55. How many of each type of coins is in the piggy bank? # of nickels:__________ # of dimes:__________ # of quarters:___________
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

34 nickels, 39 dimes, 78 quarters

Step-by-step explanation:

q = quarters, d = dimes, n = nickels

n = d - 5

q = 2d

.25q + .10d + .05n = 7.55

<em>Plug in the first 2 equations into the third one</em>

.5d + .10d + .05(d - 5) = 7.55

<em>Open up the Parenthesis</em>

.5d + .10d + .5d - .25 = 7.55

<em>Combine Like Terms</em>

.2d - .25 = 7.55-->

.2d = 7.8 -->

d = 39 -->

n = 39 - 5 = 34

q = 2(39) = 78

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