NUMBER PROBLEMS. 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 your drawer.

and what is YOUR answer?

1x+.25>30

To write an inequality showing the different number of coins in your drawer, let's first assign variables to represent the number of dimes and quarters. Let:

- x = the number of dimes
- y = the number of quarters

Since you have at least $30 in change, we can determine the value of the coins.

The value of a dime is $0.10, so the total value of the dimes is 0.10x.
The value of a quarter is $0.25, so the total value of the quarters is 0.25y.

To write the inequality, we need to consider the total value of the coins in your drawer, which should be at least $30. Therefore, the inequality is:

0.10x + 0.25y ≥ 30

This inequality states that the sum of the total value of the dimes and quarters must be greater than or equal to $30 for the number of coins in your drawer.