HELP ME PLEASE!!

Question

A parking meter can hold at most  quarters or at most  dimes. The combined amount, in dollars, in the parking meter at a particular time is at least .

If  represents the number of quarters, and  represents the number of dimes, which system of inequalities represents the scenario?

Answer 1

at most q quarters and d dimes: q+d = maximum number of coins

q+d < or = c

combined amount = at least .25q + .10d dollars = minimum value of the coins

.25q + .10d > or = coin values = c value

2 equations/inequalities, 3 unknowns, an infinite number of solutions

for a unique solution you need one more equation or one more inequality

such as

c = 100, then

q+d =/< 100

.25q + .10d >/= .10(100) = 10,

.25q + .10d >/= 10

mutliply by 10

2.5q + d >/= 100

q + d =/< 100

subtract

1.5q >/</= 0

it's actually a linear programming program

graph the inequalities, check which vertices work best