Elizabeth has 99coins. Of thecoins, 8/11 arenickels, 2/11 aredimes, and therest are quarters.What is the ratioof Elizabeth'snickels to dimesto quarters?
Accepted Solution
A:
Answer:The ratio of Elizabeth's nickels to dimes to quarters is [tex]72:18:9[/tex]Step-by-step explanation:Letx -----> the number of nickelsy -----> the number of dimesz -----> the number of quarterswe 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]thereforeThe ratio of Elizabeth's nickels to dimes to quarters is [tex]72:18:9[/tex]