SOLUTION: You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inquality that shows the different number of coins in your drawer. How do I do this?

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Question 49117This question is from textbook Beginning Algebra
: You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inquality that shows the different number of coins in your drawer.
How do I do this? This question is from textbook Beginning Algebra

Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
You have at least $30 in change in your drawer, consisting of dimes and
quarters. Write an inquality that shows the different number of coins in
your drawer. How do I do this?

Suppose you have X dimes.  Then they are worth $.10X
Suppose you have Y quarters.  Then they are worth $.25Y

Together they are worth $.10X + $.25Y

Since you have at least $30, what they are worth together must either 
be equal to $30 or greater than $30, so

$.10X + $.25Y > $30

You can drop the dollar signs

.10X + .25Y > 30

If you like, you can multiply thru by 100 to remove the decimals

10X + 25Y > 3000

then you can divide thru by 5

2X + 5Y > 600

However, probably

.10X + .25Y > 30

will be sufficient.

Edwin