Question

There are 2 questions pls help me plz!!

Answer 1

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

$P=\dfrac{12}{60}=\dfrac{1}{5}.$

Option C.