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chubhunter [2.5K]
3 years ago
10

Kevin and Randy Muise have a jar containing 41 coins, all of which are either quarters or nickels. The total value of the coins

in the jar is $7.45. How many of each type of coin do they have?
The jar contains
The jar contains
quarters.
nickels
Mathematics
1 answer:
Aleks [24]3 years ago
6 0

Answer:

There are 27 quarters and 14 nickles

Step-by-step explanation:

<u>Step 1:  Make a system of equations</u>

<em>n + q = 41</em>

<em>0.05n + 0.25q = 7.45</em>

<u>Step 2:  Solve for n in the first equation</u>

<em>n + q - q = 41 - q</em>

<em>n = 41 - q</em>

<u>Step 3:  Plug in n into the second equation</u>

0.05(41 - q) + 0.25q = 7.45

2.05 - 0.05q + 0.25q - 2.05 = 7.45 - 2.05

0.2q / 0.2 = 5.4 / 0.2

<em>q = 27</em>

<em />

<u>Step 4:  Find the amount of nickels</u>

n = 41 - 27

<em>n = 14</em>

<em />

Answer:  There are 27 quarters and 14 nickles

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