A piggy bank contains 50 coins, all of them nickels, dimes, or quarters. The total value of the coins is $5.60, and the value of the dimes is five times the value of the nickels. How many coins of each type are there?
a. write the system of equations
b.Set up a matrix equation AX=B and solve it.

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x+y+z = 50
x(.05) + 5x(.05) +z(.25) = 5.60
Does this sound right?

yes

.05x +.25x +.25z = 5.60
30x +25z = 560
x = (560 - 25z) - 30
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