Three friends each bought a different ipod nano music player the total for the three purcheses was $375 Thomas paid 30 more than Megan Ryan paid 15 less than Megan how much did each person pay

The amount paid by Megan = $120

The amount paid by Thomas = $150

The amount paid by Ryan = $105

Step-by-step explanation:

Firstly, let us denote the amount that was paid by Megan as "x"

Then, if Thomas paid $30 more than Megan, it means that the amount paid by Thomas = $ (x + 30)

Again, we were told that Ryan paid $15 less than his friend Morgan. This means that the amount paid by Ryan = $ (x - 15).

The total amount that was now paid by the three friends for their respective music players is:

(x + 30) + (x - 15) + (x)

We were also told that the actual sum they paid for their respective music players is $375

This implies that:

(x+30) + (x-15) + (x) = $375

x + 30 + x - 15 + x = $375

3x + 15 = 375

3x = 375 - 15

3x = 360

x = 360/3

x = 120

Therefore Megan paid $120 for his music player.

Recall that the amount paid by Thomas = $ (x + 30)

Therefore the actual amount that Thomas paid is =

120 + 30 = $150

Again, the amount paid by Ryan = $ (x - 15)

This means that the actual amount paid by Ryan is:

120 - 15 = $105

Step-by-step explanation:

Given:

Total amount paid by 3 friends, Pt = $375

Let Ryan, Megan and Thomas be R, M Nd T respectively.

T = M + 30

R = M - 15

Pt = M + R + T

375 = M + M + 30 + M - 15

375 - 30 + 15 = 3M

M = $120

R = 120 - 15

= $105

T = 120 + 30

= $150