Q:

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?

Accepted Solution

A:
DJ collected $39.58Step-by-step explanation:Kobe, A'Mari and DJ are raising money for the football team to take atrip to San DiegoKobe collected $24.55 more than A‘MariDJ collected $15.60 less than KobeAltogether the three boys collected $125.40We need to find how much DJ collectedAssume 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 = 30.63Substitute the value of A in equation (4) to find the value of D∵ D = A + 8.95 ⇒ (4)∴ D = 30.63 + 8.95∴ D = 39.58DJ collected $39.58Learn more:You can learn more about solving equations in brainly.com/question/9045597#LearnwithBrainly