Question

if 6 teddy bears and 5 model plains cost $162, and 5teddy bears and 6 model planes cost $168, how much will 1 teddy bear and 1 model plane cost.

Answer 1

Answer:

Cost of 1 teddy bear = 12$

Cost of 1 model plane = 18$

Step-by-step explanation:

Let 'x' be the cost of the teddy bear, and 'y' be the cost of the model planes.

It is given that 6 teddy bears and 5 model planess cost $162.

Therefore, 6x + 5y = 162       (1)

It is also given that 5 teddy bears and 6 model planes cost $168.

Therefore, 5x + 6y = 168      (2)

Multiply equation (2) by -6/5:

$-6x-\frac{-36}{5}y=\frac{-1008}{5}$     (3)

Add equations (1) and (3):

$\frac{-11}{5}y=\frac{-198}{5}\\y=18$

Substitute by y=18 in equation (1):

6x + 5(18)=162

x = 12