Word Problem, "An Employee At A Company That Assembles Chandeliers Is Packing Boxes For Shipping. In The First Box, He Packed 1 Large Chandelier, Whic

Word problem

An employee at a company that assembles chandeliers is packing boxes for shipping. In the first box, he packed 1 large chandelier, which weighed a total of 30 kilograms. In the second box, he packed 3 small chandeliers and 3 large chandeliers, which had a weight of 132 kilograms. Assuming the weight of the box isnt included in the shipping weight, how much does each size of chandelier weigh?

 

Answer:

A large chandelier weighs 30 kgs each while a small chandelier weighs 14 kgs. each.

Step-by-step explanation:

Large chandelier: x

Small chandelier: y

Equation A (Box 1):

One large chandelier packed weighs 30 kgs.

x = 30

Equation B (Box 2):

Three small chandeliers and 3 large chandeliers weigh 132 kgs.

3x + 3y = 132

Find the weight of each small chandelier (y) when a large chandlier (x) weighs 30 kgs each:

x = 30

3x + 3y = 132

3(30) + 3y = 132

90 + 3y = 132

3y = 132 - 90

3y/3 = 42/3

y = 14

A large chandelier weighs 30 kgs each while a small chandelier weighs 14 kgs. each.

Check:

3x + 3y = 132

3(30) + 3(14) = 132

90 + 42 = 132

132 = 132 (True)