Answer:
1. A
2. C
Step-by-step explanation:
1. Let x be the number of quarters and y be the number of nickels. In total, Fazla has 30 coins, so
x+y=30.
The amount of money Fazla has is
- 0.25x (in quarters);
- 0.05y (in nickels);
- $5.50 in total,
so
0.25x+0.05y=5.50
From the first equation, x=30-y. Substitute into the second equation:
0.25(30-y)+0.05y=5.50
Multiply it by 100:
25(30-y)+5y=550
750-25y+5y=550
-25y+5y=550-750
-20y=-200
y=10
x=30-10=20
Hence, Fazla has 20-10=10 more quarters than nickels. Option A.
2.
35 Knicks jerseys
60 jerseys in total, so
Ivan has 60 - 35 = 25 Nets jerseys.
Signed Knicks jerseys = 15
Unsigned Knicks jerseys = 35 - 15 = 20
Unsigned Nets jerseys = 32 - 20 = 12
Signed Nets jerseys = 25 - 12 = 13
The probability that randomly selected jersey is unsigned Nets jersey is
[tex]P=\dfrac{12}{60}=\dfrac{1}{5}.[/tex]
Option C.
