Question

A jar contains 12 more nickels than quarters. The total value of the quarters equals the total value of the nickels. How many quarters are there?
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Answer 1

There are 15 nickels and 3 quarters.

Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)

A jar contains 12 more nickels than quarters.

x = 12 + y  

x - y = 12               (1)

Also the, total value of the quarters equals the total value of the nickels. hence:

0.05x = 0.25y

0.05x - 0.25y = 0     (2)

Therefore x = 15, y = 3

Therefore there are 15 nickels and 3 quarters.

Find out more at: brainly.com/question/16763389

Answer 2

There are 3 quarters in the jar.

Let n = number of nickels and n' = number of quarters

Since the jar contains 12 more nickels than quarters, we have

n = n' + 12  (1)

Also, the total value of the quarters equals the total value of the nickels.

Since one nickel = $ 0.05 and 1 quarter = $ 0.25

n × 0.05 = n' × 0.25

0.05n = 0.25n'

Dividing both sides by 0.05, we have

n = 0.25n'/0.05

n = 5n'

Substituting n = 5n' into (1), we have

n = n' + 12

5n' = n' + 12

5n' - n' = 12

4n' = 12

Dividing both sides by 4, we have

n' = 12/4

n' = 3

So, there are 3 quarters in the jar.

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