Question

Kevin and Randy Muise have a jar containing 60 coins, all of which are either quarters or nickels. The total value of the jar is $8.20. How many of each type of coin do they have?

Answer 1

Answer:

45 quaters

Step-by-step explanation:

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Answer 2

Given Information

• Total number of coins in the jar = 60 coins
• Total value of the jar = 8.20

Let X be the number of quarters in the jar.

Let Y be the number of nickels in the jar.

Then,

Solution:

• X+Y=60...(1)
• 0.25X+0.05Y=8.20...(2)

By substituting Y = 60 - X in equation1,

• 0.25X+0.05(60−X)=8.20
• 0.25X+3−0.05X=8.20
• 0.2X−5.2=0
• X=26

Substitute X value in equation 1 to get Y

• 26+Y=60
• Y=34

Answer:

Therefore, there are 26 quarters and 34 nickels in the jar.