Answer:
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
