P = printer cost
C = computer cost
P + C = 900
C = 3P
P + 3P = 900
4P = 900
P = $225
C = 3(225)
C = $675
Answer:
2 irrational solutions.
Step-by-step explanation:
6p^2 = 8p + 3
0 = -6p^2 + 8p + 3
The roots are:
p = (2/3) - (8.5)^(1/2)/3, and
p = (2/3) + (8.5)^(1/2)/3
These are irrational numbers.
There are 2 irrational solutions.
I: 635=dimes*10+quarters*25
or shorter
635=d*10+q*25
II: d=q*3+3
Substitute II (d=3q+3) into I to replace d:
635=d*10+q*25
635=(3q+3)*10+q*25
635=30+30q+25q
605=55q
11=q
-> 11 quarters
"What expression represents the number of dimes if q represent quarters"
insert q=11 into II:
II: d=q*3+3
d=11*3+3
d=33+3
d=36