Answer:
The ratio of Elizabeth's nickels to dimes to quarters is [tex]72:18:9[/tex]
Step-by-step explanation:
Let
x -----> the number of nickels
y -----> the number of dimes
z -----> the number of quarters
we know that
[tex]x+y+z=99[/tex]
Find the number of nickels
[tex]x=\frac{8}{11}(99)= 72\ nickels[/tex]
Find the number of dimes
[tex]y=\frac{2}{11}(99)= 18\ dimes[/tex]
Find the number of quarters
[tex]z=99-x-y[/tex]
substitute
[tex]z=99-72-18=9\ quarters[/tex]
therefore
The ratio of Elizabeth's nickels to dimes to quarters is [tex]72:18:9[/tex]
