Question

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?

Answer 1

A'mari's estimate of collecting about $30.00 is not reasonable. He actually collected approximately $30.65.

Step-by-step explanation:

To determine if A'mari's estimate of collecting about $30.00 is reasonable, let's solve the problem step by step.

1. Let's assume that A'mari collected x dollars.
2. According to the problem, Kobe collected $24.55 more than A'mari, so Kobe collected (x + $24.55) dollars.
3. It is also given that DJ collected $15.60 less than Kobe, so DJ collected ((x + $24.55) - $15.60) dollars.
4. Altogether, the three boys collected $125.45, so we have the equation x + (x + $24.55) + ((x + $24.55) - $15.60) = $125.45.
5. Simplifying the equation, we get 3x + $33.50 = $125.45.
6. Subtracting $33.50 from both sides, we get 3x = $91.95.
7. Dividing both sides by 3, we find x = $30.65.

Therefore, A'mari's estimate of collecting about $30.00 is not reasonable. He actually collected approximately $30.65.