As part of their senior project janus nd arya collected a total of $306 for the construction of a storage shed at a homeless shelter. janus collected $88 less than arya collected. how much money did each collect?

Given that the total money they collected is $306 and Janus collected $88 less than Arya, we can assume the equation:
306=X+Y
Where:
X=Janus collected
Y=Arya collected
But:
X=Y-88
Substitute to the equation :
306=(Y-88)+Y
306=2Y-88
2Y=306+88
Y=(306+88)/2
Y=197
Therefore:
X=197-88
X=109

Janus collected $109 while Arya collected $197.