Kobe, a'mari and dj are raising money for the football team to take a trip to san diego. kobe collected $24.55 more than a‘mari, and dj collected $15.60 less than cobe. altogether the three boys collected $125.40 how much did dj collect?

DJ collected $39.6

Step-by-step explanation:

Kobe,A'mari and DJ are raising money for the football team to take a trip to San Diego.

Let k = amount which Kobe collected

Let a = amount which Amari collected

Let d= amount which Dj collected.

Kobe collected $24.55 more than A‘Mari. This means

k= a + 24.55 - - - - - - 1

DJ collected $15.60 less than Kobe

d = k-15.60 - - -- - - - - 2

Altogether the three boys collected $125.40. This means

k + d + a = 125.40- -- - -- - -3

Put k = a + 24.55 in equation 3 and k= d+15.60 in equation 3 too

a + 24.55+ d + a= 125.40

2a + d = 125.40 - 24.55= 100.85

2a+d = 100.85- - - - - - -4

d + 15.60+d + a= 125.40

2d + a = 125.40-15.60= 109.8

a + 2d = 109.8- - - - - - -5

Multiply equation 4 by 1 and equation 5 by 2

2a+d = 100.85

2a+ 4d = 219.6

Subtracting

-3d = -118.75

d =118.75/3= 39.6

Put d = 39.6 in equation 5

a = 109.8- 2×39.6= 30.6

Substitute a = 30.6 in equation 1

k = 30.6 + 24.55 = 55.15

So DJ collected $39.6

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step-by-step explanation: