Step-by-step explanation:
Below is an attachment containing the solution.
The answer is (0, 1). By plugging in it, both equations would be correct. However, you could also use elimination to solve these problems.
Well you would have to turn the whole number into a fraction do you know how to do that
Answer:
11 Dimes
17 Quarters
Step-by-step explanation:
First, you must create an algebraic system out of the situation.
Let D represent the number of dimes and Q represent the number of quarters.
You can make the first equation using the total amount of money all coins equal. Since every dime is 10 cents and every quarter is 25 cents, the equation is:
0.10 D + 0.25 Q = 5.35
The second equation used to represent the ratio between dimes and quarters. It says that twice the number of dimes is = 5 more than the number of quarters. Replace dimes with D and quarters with Q to get:
2D = Q + 5
The system of equations is:
0.10 D + 0.25 Q = 5.35
2D = Q + 5
Solve for each variable.
Solving for D:
0.10 D + 0.25 Q = 5.35
Q = 2D - 5
Plug in:
0.10 D + 0.25(2D - 5) = 5.35
0.10D + 0.5D - 1.25 = 5.35
0.6D = 5.35 + 1.25 = 6.6
D = 6.6 / 0.6 = 11
Solving for Q:
Q = 2D - 5
Q = 2(11) - 5 = 22 - 5 = 17
