SOLUTION: You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in our drawer.

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Question 105775: You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in our drawer.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The problem says dimes AND quarters, so I can assume that it is not ALL dimes
or ALL quarters.
Let D equal the number of dimes
Let Q equal the number of quarters
This is if ALL the coins were dimes

This is if ALL the coins were quarters

But I know these are not true. What I do know is:

and

So,
and

I can add these inequalities

Note that if D=300 and Q=120, then I get 60<60, but
numbers less than these for D or Q is less than 60

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