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.