Julie collects dimes and quarters. She has a total of 98 dimes and quarters in a jar. She counted the money and found out she has $14.90 in the jar. How many dimes and quarters does she have?

64 dimes and 34 quarters.

Step-by-step explanation:

Let d represent the amount of dimes and q represent the amount of quarter Julie has.

She has in total 98 coins. Therefore:

Each dime is worth 0.10 and each quarter is worth 0.25. Together, they are worth in total $14.90. Therefore:

We have a system of equations. We can solve this using substitution.

First, we can multiply the second equation by 100 to simplify. So:

From the first equation, we can subtract q from both sides:

Substitute this into the second equation:

Distribute:

Combine like term:

Subtract:

Therefore:

So, Julie has 34 quarters.

Returning to our first equation:

Substitute:

Therefore:

Thus, Julie has 64 dimes and 34 quarters.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

(3x-8) or (3x+8)

step-by-step explanation: