Question

PLEASE HELP!! Dee bought 6 dolls and 2 toy trains for $55. At the same prices, Joy bought 4 dolls and 7 toy trains for $65. What is the price of a doll?

Answer 1

The cost of 1 doll = $ 7.5

and The Cost of 1 toy train = $ 5

Explanation:

Let the price of 1 doll = $ x

The price of 1 toy train = $ y

Now, according to the question:

6 x + 2 y = $ 55

and 4 x + 7 y = $ 65

Solving the given system of equation,

From (1), we get

`x= (55 - 2y)/(6)`

`4 ({(55 - 2y)/(6)} )  + 7y = 65`

or, solving for y , we get

110y - 4y + 21 y = 195

or, 17 y = 85

⇒ y= 85/17 = 5

This implies : 6 x + 2 (5) =55

or, 6x = 55 - 10 = 45

or, x = 45/ 6 = 15/2

Hence, the cost of 1 doll = x = $ 7.5

and the Cost of 1 toy train = y = $ 5