Question

A collection of nickels and dimes is worth $4.40. There are 53 coins in all. How many
nickels are there?
12
18
35
41

Answer 1

A Nickel is worth 5 cents or 0.05.
A Dime is worth 10 cents or 0.10

n + d = 53
0.05n + 0.10d = 4.40

n = 53 - d
0.05(53 - d) + 0.10d = 4.40
2.65 - 0.05d + 0.10d = 4.40
0.05d = 4.40 - 2.65
0.05d = 1.75
d = 1.75 / 0.05
d = 35

n = 53 - d
n = 53 - 35
n = 18

There are 18 nickels and 35 dimes.

0.05n + 0.10d = 4.40
0.05(18) + 0.10(35) = 4.40
0.90 + 3.5 = 4.40
4.40 = 4.40

Answer 2

The number of nickels there should be considered as the 18 when the collection is to be given.

Calculation of the number of nickles:

Since

A collection of nickels and dimes is worth $4.40. There are 53 coins in all.

So here we assume that

A Nickel is worth 5 cents or 0.05.

A Dime is worth 10 cents or 0.10

Now

n + d = 53

0.05n + 0.10d = 4.40

So, it can be like

n = 53 - d

0.05(53 - d) + 0.10d = 4.40

2.65 - 0.05d + 0.10d = 4.40

0.05d = 4.40 - 2.65

0.05d = 1.75

d = 35

Now

n = 53 - d

n = 53 - 35

n = 18

hence, The number of nickels there should be considered as the 18 when the collection is to be given.

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