Question

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.

Answer 1

Number of trinkets = 2

Number of doodads = 3

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
`\$7`,

2x + y = 7 (i)

As a large bag contains 5 trinkets and 3 doodads and sells for
`\$19`,

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