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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ignaciopastorp6
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\$
$⇒0.05x+0.25×\left(39-x\right)=5.75\phantom{\rule{0ex}{0ex}}⇒0.05x+9.75-0.25x=5.75\phantom{\rule{0ex}{0ex}}⇒9.75-5.75=0.25x-0.05x\phantom{\rule{0ex}{0ex}}⇒4.00=0.20x\phantom{\rule{0ex}{0ex}}⇒x=20$
So, number of quadraters in Jar =39-x
=39-20
Number of quarters in Jar = 19
Number of Nickels in Jar =20