Question 739592
 

if you have to have dimes, and if the number of dimes {{{must}}} be greater 
than the other coins, then the other coins could be only nickels and pennies 

but, the maximum number of coins you can have to make ${{{5.00}}} is if you use only dimes and  pennies 

since the number of dimes {{{must}}} be greater, convert ${{{5.00}}} in dimes which is {{{50}}} dimes

the smallest number dimes and pennies you can use is {{{d}}} and {{{p}}} to have {{{x>y}}}


{{{d+p=50}}}=> {{{d=50-p}}}
{{{d>p}}}=>{{{50-p>p}}} =>{{{50>p+p}}}  =>{{{50>2p}}}  =>{{{25>p}}}

so, you can use less than {{{25}}} pennies and first number less than {{{25}}} is {{{24}}}

then {{{d=48}}}dimes  is ${{{4.80}}} and rest are {{{p=20}}} pennies

so, {{{48}}} dimes and {{{20}}} pennies are the maximum number of coins you can have to make ${{{5.00}}}