Answer:
She has 11 dimes and 17 nickels
Step-by-step explanation:
dimes --- d
nickels -- n
Equation with number of coins: [tex]
n+d = 28
n = 28-d[/tex]
[tex]10d + 5n = 195
[/tex]
Divide by 5
[tex]2d + n = 39[/tex]
sub in the other equation:
[tex]2d + 28-d = 39
d = 11
n = 28-11 = 17
[/tex]
She has 11 dimes and 17 nickels
check:
total = 11 + 17 = 28 , check!
value: 10(11) = 5(17) = 195 , check!
