Candice makes gift boxes during her free time.She charges 40 cents for a triangular box,50 cents for a heart shaped box and a cylindrical box for 60 cents.Last Sunday,Candice sold 16 different types of boxes and collected a total of 8 dollars.How many of each type of box did she sell.

Answer 1

I think you mean she sold 16 boxes, since she only had three different types.

t+h+c = 16
40t+50h+60c = 800

That's not enough to completely specify a solution, but it will get you to

t = c
h = 2(8-c)
So, clearly c<=8. If we start listing the possibilities, we get
c,t h
8 8 0
7 7 2
6 6 4
5 5 6
4 4 8
3 3 10
2 2 12
1 1 14
They all sell for a total of $8.00