Answer:
Number of trinkets = 2
Number of doodads = 3
Step-by-step explanation:
Let x denotes the number of trinkets and y denotes the number of doodads.
As a small grab bag contains 2 trinkets and 1 doodad and sells for [tex]\$7[/tex],
2x + y = 7 (i)
As a large bag contains 5 trinkets and 3 doodads and sells for [tex]\$19[/tex],
5x + 3y = 19 (ii)
From equation (i), put value of y = 7 - 2x in equation (ii)
5x + 3(7 - 2x) = 19
5x + 21 - 6x = 19
-x = 19 - 21
x= 2
So, number of trinkets = 2
Hence, number of doodads = 7 - 2x = 7 - 2(2) = 7 - 4 = 3
