SOLUTION: ok my problem is you have $30 in change in your drawer consisting of dimes and quarters write an inequality that shows the different number of coins in your drawer. so i think if I

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Question 86860: ok my problem is you have $30 in change in your drawer consisting of dimes and quarters write an inequality that shows the different number of coins in your drawer. so i think if I use x as the number of dimes and y as the quarters can I write that f(y) > f(x)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
why can't you have 2 quarters and 295 dimes?

let c= # of coins, d= # of dimes, q= # of quarters

since $30 is evenly divisible by $.10, there must be an even number of quarters;
that means at least 2 but no more than 118 so 2<=q<=118

2 quarters means 295 dimes; 118 quarters means 5 dimes ... so 5<=d<=295

the fewest coins is 123 (118q + 5d) and the most is 297 (2q + 295d) so 123<=c<=297