Answer:
So Kobe collected $42.15
Step-by-step explanation:
Kobe, A'mari and DJ are raising money for the football team to take a trip to San Diego.
Let x = amount which Kobe collected
Let y = amount which Amari collected
Let z= amount which Dj collected.
Kobe collected $18.50 more than A‘Mari. This means
x= y + 18.5 - - - - - - 1
DJ collected $12.25 less than Kobe
z = x-12.25 - - -- - - - - 2
Total sum collected by the 3 boys
= $95.70 This means
x + y+ z= 95.70 - -- - -- - -3
Put x = y + 18.5 in equation 3 and also
x= z+12.25 in equation 3
y + 18.5 + y+ z= 95.70
2y +z = 95.70-18.5 = 77.2
2y +z = 77.2 - - - - - -4
z + 12.25 + y+ z= 95.70
y +2z = 83.45 - - - - - -- - 5
Multiply equation 4 by 1 and equation 5 by 2
2y +z = 77.2
2y + 4z = 166.9
-3z = -89.7
z = 89.7/3= 29.9
Put z =29.9 in 2y+z = 77.2
2y +29.9= 77.2
2y = 77.2-29.9= 47.3
y = 47.3/2 = 23.65
Put y=23.65 and z = 29.9 in equation 3
x + 23.65+ 29.9= 95.70
x = 95.70-53.55
=$42.15
So Kobe collected $42.15
