DJ collected $39.58
Step-by-step explanation:
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
- DJ collected $15.60 less than Kobe
- Altogether the three boys collected $125.40
We need to find how much DJ collected
Assume that Kobe collected $K, A'Mari collected $A and DJ collected $D
∵ Kobe collected $K
∵ A'Mari collected $A
∵ DJ collected $D
∵ Altogether they collected $125.40
∴ K + A + D = 125.40 ⇒ (1)
∵ Kobe collected $24.55 more than A‘Mari
∴ K = A + 24.55 ⇒ (2)
∵ DJ collected $15.60 less than Kobe
∴ D = K - 15.60 ⇒ (3)
Substitute equation (2) in equation (3) to find D in terms of A
∴ D = (A + 24.55) - 15.60
- Add like terms
∴ D = A + 8.95 ⇒ (4)
Substitute equations (2) and (4) in equation (1) to replace K and D by A
∴ (A + 24.55) + A + (A + 8.95) = 125.40
- Add like terms
∴ (A + A + A) + (24.55 + 8.95) = 125.40
∴ 3A + 33.50 = 125.40
- Subtract 33.50 from both sides
∴ 3A = 91.90
- Divide both sides by 3
∴ A = 30.63
Substitute the value of A in equation (4) to find the value of D
∵ D = A + 8.95 ⇒ (4)
∴ D = 30.63 + 8.95
∴ D = 39.58
DJ collected $39.58
Learn more:
You can learn more about solving equations in brainly.com/question/9045597
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