Answer:
puzzle 1:
triangle = 8, diamond = 3, star = 11
puzzle 2:
triangle = 2, diamond = 5, star = 5
Explanation:
puzzle 1:
triangle + diamond + star = 22
triangle / 2 = 4
star - diamond = triangle
2 + diamond + diamond = triangle
triangle = 8, as 8/2 = 4
diamond = 3, as 2 + 3 + 3 = 8 which is the value of triangle
star is 11, as 11 - 3 = 8, which is the value of triangle
thus, 8 + 3 + 11 = 22 which verifies that our puzzle is solved correctly.
puzzle 2:
star = diamond
(star / diamond) * triangle = 20
triangle * triangle * diamond = 2 * star * triangle
star * diamond = 25
star = diamond = 5, as 5 * 5 = 25
triangle = 2, as (5 + 5) * triangle = 20
10 * triangle = 20
triangle = 20/10 = 2
2 * 2 * 5 = 2 * 5 * 2
20 = 20
this verifies that our puzzle is correct