Candice makes gift boxes during her free time. She charges 40 cents for a triangle box, 50 cents for a heart?

Question

shaped box and 60 cents for a cylindrical box. Last sunday, candice sold 16 gift boxes and collected a total of $8. How many of each type of box did she sell?

Answer 1

5 triangle gift box = $2
6 heart shaped = $3
and
5 cylinder shaped = $ 3

Answer 2

equation (1)
40T + 50H + 60C = 800
can rewrite
4T + 5H + 6C = 80

equation (2)
T + H + C = 16
T, H, C are integers between 0 and 16

3 variables and two equations. Theoretically no unique solution. There are indeed 9 solutions as follows:

T H C
8 0 8
7 2 7
6 4 6
5 6 5
4 8 4
3 10 3
2 12 2
1 14 1
0 16 0

Answer 3

Equation 1:
40t + 50h + 60c = 800
Simplified: 4t + 5h + 6c = 80

Equation 2:
t + h + c = 16
c = 16 - t - h

Substitute for c
4t + 5h + 6(16-t-h) = 80
4t + 5h + 96 -6t - 6h = 80
16 = 2t + h
h = 16 - 2t
c = 16 - t - (16-2t)
c = t

Any number where c and t are the same will work.
c = 0, h = 16, t = 0 works
c = 1, h = 14, t = 1 works
c = 2, h = 12, t = 2 works
all the way to
c = 8, h = 0, t = 8 works

You'd need a third equation to solve for three unknowns.

Answer 4

There are multiple possible answers. Are you sure you haven't left anything out?

For example, she could have sold 16 heart boxes, total $8.
or
1 triangle, 14 heart, 1 cylinder, total $8.
or
2 triangles, 12 heart, 2 cylinders, total $8.
or
3 triangles, 10 heart, 3 cylinders, total $8.
or
....
.

Answer 5

google it