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?

Question

anonymous · Answer

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 · Answer

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 · Answer

-.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

anonymous · Answer

thanks