Problema Solution
a public radio station offers two levels of support during fundraiser. Level 1 membership requires a $25 donation, and Level 2 membership requires a $50 donation. At the end of the day, a fundraiser had pledges for $350. How many Level 1 and Level 2 pledges were received during this fundraiser? list all possibilities
Answer provided by our tutors
Let
x = the number of Level 1 pledges
y = the number of Level 2 pledges
25x + 50y = 350 divide both sides by 25
x + 2y = 14
y = 7 - x/2
The possibilities are:
x = 0 Level 1 pledges, y = 7 - 0 = 7 Level 2 pledges
x = 2 Level 1 pledges, y = 7 - 2/2 = 6 Level 2 pledges
x = 4 Level 1 pledges, y = 7 - 4/2 = 5 Level 2 pledges
x = 6 Level 1 pledges, y = 7 - 6/2 = 4 Level 2 pledges
x = 8 Level 1 pledges, y = 7 - 8/2 = 3 Level 2 pledges
x = 10 Level 1 pledges, y = 7 - 10/2 = 2 Level 2 pledges
x = 12 Level 1 pledges, y = 7 - 12/2 = 1 Level 2 pledges
x = 14 Level 1 pledges, y = 7 - 14/2 = 0 Level 2 pledges