Respuesta :
Answer:
11 dimes, 5 nickels
Step-by-step explanation:
You have two different equations here.
d+n=16 (number of dimes plus number of nickels equals 16 total coins) and
.1d+.05n=1.35 (number of dimes times .1 (the value of a dime is 10 cents) plus number of nickels times .05 (the value of a nickel is 5 cents) equals 1.35 (the total value of the coins)
The first equation can become either d=16-n or n=16-d. I went with the second one, but it doesn't matter.
The second equation can be multiplied (both sides) by 100 just to make the math easier. It then becomes 10d+5n=135. Now, take the first equation and put it into the second one. Substitute the variable for the first equation. Since I did d=16-n, my new equation was 10(16-n)+5n=135.
This simplifies to 160-10n+5n=135
Combine like terms and you get -5n=-25
Divide n=5. Zoe has 5 nickels. Now, put that information into the first equation.
d=16-n. n=5
d=16-5
d=11. Zoe has 11 dimes
