Question

A furniture shop produces two types of custom made chairs. If the price of one type of chair is three times the price of the other, and the total price for both is $15365, what is the price of other chair?

Answer 1

Answer:

The price of other chair is $3841.25

Step-by-step explanation:

Step 1: Write equations.

First equation: The price of one type of chair is three times the price of the other.

Let x be the price of one type of chair and y the price of the other type of chair.

$x = 3y$

Second equation: The total price for both is $15365

$x + y = 15365$

Step 2: Solve the system of equations.

1) $x = 3y$

2) $x + y = 15365$

Substitute x in the second equation with x from first.

$x + y = 15365\\(3y) + y = 15365$

Now solve for y (y is the price of the other chair).

$4y = 15365\\y = \frac{15365}{4}\\y = \ 3841.25$