Fredrick manages a band and sing leads vocal the band charges $700 per concert Frederick receives 175 of that money and he shares the rest equally among the other five members of the band how much money does each of the five band members receive per concert

Each will receive $105

Step-by-step explanation:

Step one:

given data

we are told that the total amount made is $700

If Frederick receives $175 from the amount made the balance left to share is

=700-175

=$525

Step two:

Hence the five band members will share $525

each of them will receive

=525/5

=$105

3 right triangles:
ΔPQR ; long leg (QR) = 9 ; short leg (PQ) = 4 ; hypotenuse (PR) = ?
ΔQSP ; long leg (QS) = ? ; short leg (SP) = ? ; hypotenuse (PQ) = 4
ΔRSQ ; long leg (RS) = ? ; short leg (SQ) = ? ; hypotenuse (QR) = 9

Let us use the Pythagorean theorem to solve for the hypotenuse of ΔPQR
a² + b² = c²
9² + 4² = c²
81 + 16 = c²
97 = c²
√97 = √c²
9.849 = c  Hypotenuse (PR)

Compare ΔPQR and ΔQSP using hypotenuse and long leg
9.849/9 = 4/x 
9.848x = 9*4
9.848x = 36
x = 36/9.848
x = 3.656 long leg (QS) of ΔQSP 

QS is the long leg of ΔQSP and the short leg of ΔRSQ

ΔPQR ; long leg (QR) = 9 ; short leg (PQ) = 4 ; hypotenuse (PR) = 9.849
ΔQSP ; long leg (QS) = 3.656 ; short leg (SP) = ? ; hypotenuse (PQ) = 4
ΔRSQ ; long leg (RS) = ? ; short leg (SQ) = 3.656 ; hypotenuse (QR) = 9

To get the measure of the missing leg; we simply solve it using Pythagorean Theorem.
ΔQSP: 3.656² + b² = 4²
b² = 4² - 3.656²
b² = 16 - 13.366
b² = 2.634
√b² = √2.634
b = 1.623  short leg (SP)

ΔRSQ: a² + 3.656² = 9²
a² = 9² - 3.656²
a² = 81 - 13.366
a² = 67.634
√a² = √67.634
a = 8.224 long leg (RS)

ΔPQR ; long leg (QR) = 9 ; short leg (PQ) = 4 ; hypotenuse (PR) = 9.849
ΔQSP ; long leg (QS) = 3.656 ; short leg (SP) = 1.623 ; hypotenuse (PQ) = 4
ΔRSQ ; long leg (RS) = 8.224 ; short leg (SQ) = 3.656 ; hypotenuse (QR) = 9

My answer is: 
C. Segment PR • segment PS = 16   →→ 9.849 * 1.623 = 15.985 or 16
Segment PR • segment SR = 81 →→ 9.849 * 8.224 = 80.998 or 81