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jamil always throws loose change into a pencil holder on his desk and he takes it out every 2 weeks. this time it was nickels and dimes. there are 7 times as many dimes as nickels, and value of dimes is $5.85 more than the value of the nickels. how many nickels and dimes does jamil have? (how do i put this in a system of equations) PLEASE HELP ASAP !!

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frika

Answer:

There are 9 nickels and 63 dimes.

Step-by-step explanation:

Let x be the number of nickels. There are 7 times as many dimes as nickels, so there are 7x dimes.

Amount in dimes [tex]=7x\cdot 10=70x[/tex] cents

Amount in nickels [tex]=x\cdot 5=5x[/tex] cents

The value of dimes is $5.85 more than the value of the nickels, so

[tex]70x-5x=585[/tex]

Solve this equation

[tex]70x-5x=585\\ \\65x=585\\ \\x=\dfrac{585}{65}\\ \\x=9[/tex]

There are 9 nickels and 63 dimes.

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