Kevin and Randy Muise have a jar containing 39 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.75 How many of each type of coin do they​ have?

sooxicyiy 2022-09-13 Answered
Kevin and Randy Muise have a jar containing 39 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.75
How many of each type of coin do they​ have?
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Answers (1)

ignaciopastorp6
Answered 2022-09-14 Author has 14 answers
Value of a nickel = $0.05
value of quarter = $0.25
Now let the Jar contains 'x' number nickels as the Jar contains 39 coins, then number of quarters in Jar would be '39-x'
So, total value of nickels quarters = 5.75$
0.05 x + 0.25 × ( 39 x ) = 5.75 0.05 x + 9.75 0.25 x = 5.75 9.75 5.75 = 0.25 x 0.05 x 4.00 = 0.20 x x = 20
So, number of quadraters in Jar =39-x
=39-20
Number of quarters in Jar = 19
Number of Nickels in Jar =20

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