Kobe Amari and DJ are raising money for their football team to take a trip to San Diego. After one hour Cove collected $24.55 more than Amari and DJ collected $15.60 less than Coke altogether the three boys collected $125.45. Amari thinks that he collected about $30 is Amari’s estimate reasonable.
Let's break down the information given in the problem:
Let A represent Amari's amount collected, K represent Kobe's amount collected, and D represent DJ's amount collected.
Given:
1. K = A + $24.55
2. D = K - $15.60
3. A + K + D = $125.45
Substitute the expressions for K and D from the first two equations into the third equation:
A + (A + $24.55) + ((A + $24.55) - $15.60) = $125.45
3A + $24.55 + $24.55 - $15.60 = $125.45
3A + $33.50 = $125.45
3A = $91.95
A = $30.65
Therefore, Amari collected $30.65, which is very close to $30. So, Amari's estimate of $30 is not unreasonable.