Math question high school algebra

Question

Debra saved only dimes and nickels in her bank. When she last counted the coins, she noticed there were twice as many dimes

as nickels, She had $4.75 in her bank. How many dimes did she have in her bank?

Answer 1

D = 2N

multiply by 10

10D = 20N

10D -20N = 0

subtract

10D + 5N = 475

-25N = -475

N = 475/25= 19 Nickels

D = 2(19) = 38 Dimes

10(38) + 5(19) = 380 + 95 = 475