Question

you have only nicole's and dimes in your piggy bank. when you ran the coins through a change counter, it indicated you have 595 cents. write and graph an equation that represents this situation. what are three combinations of nickels and dimes you could have?

Answer 1

Let's say the amount of nickels you have is hmm "n"

and the amount of dimes you have is "d"

there are 5cents in one nickel, so, if "n" is the total amount of nickels you have, that means 5 * n cents or 5n

there are 10cents in one dime, so, if "d" is the total amount of dimes  you have, that means 10*d or 10d

whatever 5n and 10d are, we know that their sum is 595
since the total amount the counter said you have is, only 595 cents

thus 5n + 10d = 595

solve for either, "d" or "n", and graph that

what are three likely combinations? well, just pick three points off that graph