Her coins have a total value of $9.50. She has a total of 50 coins. Write systems of equations can be used to find the number of dimes, 푑푑, and the number of quarters, 푞푞, Alexis has. Solve the system and explain what the solution mean. {Hint: remember to use substitution or elimination method

Our system is : D + Q = 50 and 0.1*D + 0.25*Q = $9.50

Let D = # of dimes

Let Q = # of quarters

30 Quarters and 20 dimes

Step-by-step explanation:

Let D = # of dimes

Let Q = # of quarters

so

D + Q = 50 and 0.1*D + 0.25*Q = $9.50

We can solve this.

D = 50 - Q

0.1 * (50 - Q) + 0.25*Q = $9.50

5 - 0.1*Q + 0.25*Q = 9.5

5 + 0.15*Q = 9.5

0.15*Q = 4.5

Q = 4.5 / 0.15 = 30

D = 50 - Q = 50 - 30 = 20