Let
y -----> number of quarters
x ----> number of dimes
we have that
the inequality that represents this situation is
Remember that
1 quarter =$0.25
1 dime=$0.10
so
rewrite the variables
see the attached figure to better understand the problem
Part 4b
The solution of the given inequality is the shaded area above the solid line 0.25q+0.10d=8.50
A solution to this inequality could be the point (50,50)
that means
the number of quarters is 50 and the number of dimes is 50
the ordered pair must satisfy the inequality
Verify
Part 4c
we have that
d=25 dimes
substitute in the inequality and solve for q
so
solve for q
the number of quarters must be greater than or equal to 24