I Hope This Helps :) 
The coins you could use to show 0.77 of a dollar ( or known as 77 cents ) are nickels , dimes , pennies or even quarters . 
Example 1 : You could use 7 dimes which is 70 cents , 1 nickel which is 5 cents , then add 2 pennies which will add up to 77 cents . 
Example 2 : You could use 2 quarters which is 50 cents , 2 dimes which is 20 cents & 7 pennies . 
Example 3 : For the really long way , you could just use 77 pennies which will also give you 77 cents . 
Example 4 : You could use 1 quarter , 5 dimes , & 2 pennies . 
( Note : you must ALWAYS remember the values of coins when doing mathematical problems that's dealing with money ) 
A Penny : Is Equal To 1 Cent . ( 100 Pennies Make Up A Whole Dollar , 50 Pennies Make Up 50 Cents etc . ) 
A Nickel : Is Equal To 5 Cents . ( 2 Nickels Makes Up A Dime Which Is 10 Cents , 10 Nickels Makes Up 50 Cents , 20 Nickels Will Make Up A Dollar . ) 
A Dime : Is Equal To 10 Cents . ( 5 Dimes Is 50 Cents , 10 Dimes Is A Dollar . ) 
A Quarter : Is Equal To 25 Cents . ( 2 Quarters Is 50 Cents , 4 Quarters Is A Dollar . )