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- anonymous

john has ten coins that are all nickels and dimes the sum of those coins are 95 cents what is the equation for each nd how may nickels nd dimes are there?

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- anonymous

- schrodinger

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- anonymous

x is the number of nickels
y is the number of dimes
x + y = 10
.05x would be the amount of money you would have if you had x nickels
.10y would be the amount of money you would have if you had y nickels
.05x + .10y = .95

- anonymous

x + y = 10
.05x + .10y = .95
multiply the top equation by (-.10) so the y's will cancel
-.10x - .10y = -1.00
.05x + .10y = .95
Add these equations

- anonymous

-.05x = -.05
divide both sides by -.05
x = 1 so you have 1 nickel
y = 9 so you have 9 dimes
that would be 10 coins
and 1 nickel is 5 cents and 9 dimes is 90 cents for a total of 95 cents

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- anonymous

thanks

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