Question

Kobe, A'mari and DJ are raising money for their football team to take a trip to San Diego. Kobe collected $18.50 more than A'mari, and DJ collected $12.25 less than Kobe. Altogether, the three boys collected $95.70. How much did Kobe collect?

Answer 1

42.15

Step-by-step explanation: Simple math.

Answer 2

So Kobe collected $42.15

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