Kobe, A'mari and DJ are raising money for their football team to take a trip to San Diego. After one hour, Kobe collected $24.55 more than A'mari, and DJ collected $15.60 less than Kobe. Altogether, the three boys collected $125.45. A'mari thinks that he collected about $30.00. Is A'mari's estimate reasonable?
To determine if A'mari's estimate is reasonable, we can work backwards and add up the amounts collected by each person.
Let's assume that A'mari collected $x.
Then Kobe collected $x + $24.55.
And DJ collected ($x + $24.55) - $15.60.
The total collected by all three boys is $125.45.
So, we have the equation: x + (x + $24.55) + (x + $24.55 - $15.60) = $125.45.
Combining like terms, we have: 3x + $33.50 = $125.45.
Subtracting $33.50 from both sides, we get: 3x = $91.95.
Dividing both sides by 3, we find that x = $30.65.
So, A'mari collected $30.65, which is very close to his estimated amount of $30.00.
Therefore, A'mari's estimate is reasonable.