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Beka and Melanie have 28 coins that are nickels and dimes. If the value of the coins is 1.95, how many nickels do they have ?

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1 vote

Answer:

Beka and Melannie have 17 nickels.

Explanation:

Given:

Total number of nickels ans dimes =28

Total value of coins = $1.95

To find number of nickels.

Let number of nickels be =
n

So, number of dimes =
Total\ coins\ -\ nickels=(28-n)

1 nickel = $0.05

Value of
n nickels in dollars =
0.05* n =0.05\ n

1 dime = $0.10

Value of
(28-n) dimes in dollars =
0.10(28-n)=2.8-0.1\ n

Total value of nickels and dimes in dollars =
0.05\ n+2.8-0.1\ n=2.8-0.05\ n

So we have:


2.8-0.05\ n=1.95

Subtracting 2.8 from both sides.


2.8-2.8-0.05\ n=1.95-2.8


-0.05\ n=-0.85

dividing both sides by -0.05


(-0.05\ n)/(-0.05)=(-0.85)/(-0.05)


n=17

Beka and Melannie have 17 nickels.

User Adam Rivers
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