A company sells trinkets & doodads. A small grab bag contains 2 trinkets and 1 doodad and sells for $7. A large bag contains 5 trinkets and 3 doodads and sells for $19.

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 ,

2x + y = 7                (i)

As a large bag contains 5 trinkets and 3 doodads and sells for ,

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

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