Answer:
Alexis has 28 dimes and 12 quarters
Step-by-step explanation:
Remember that
[tex]1\ dime=\$0.10[/tex]
[tex]1\ quarter=\$0.25[/tex]
Let
x ---->the number of dimes Alexis has
y ---> the number of quarters Alexis has
we know that
[tex]x+y=40[/tex] -----> equation A
[tex]0.10x+0.25y=5.80[/tex] ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using graphing tool
The solution is the point (28,12)
see the attached figure
therefore
Alexis has 28 dimes and 12 quarters
