Question

A company sells trinkets and doodads. It costs the company $30 to make 4 trinkets and 2 doodads and $40 to make 3 trinkets and 4 doodads. How much does it cost to make trinkets and doodads?

Answer 1

tinkets:

`4x = 30 \\ x = 7.5`
now the next step

`3x + 4y = 40`
since you know x, you're able to substitute


`3 * (7.5) + 4y = 40 \\ 22.5 + 4y = 40 \\ 4y = 17.5 \\ y = 4.375`
so trinket: $7.5
doodad: $4.375

Answer 2

The cost of one trinket is $4 and the cost of one doodads is $7.

Explanation:

Let x represents the cost of one trinket and y represents the cost of one doodads,

Since, $ 30 to make 4 trinkets and 2 doodads,

⇒ 4x + 2y = 30 ------- (1),

Also, $ 40 to make 3 trinkets and 4 doodads,

⇒ 3x + 4y = 40 ------- (2),

Equation (2) - 2 × Equation (1),

We get,

-5x = - 20

⇒ x = 4

From equation (1),

16 + 2y = 30

⇒ 2y = 14

⇒ y = 7

Hence, the cost of one trinket is $ 4 and the cost of one doodads is $ 7.