Carly works in the shipping department of a toy manufacturer. toy cars weigh 1 kilogram apiece and are shipped in a container that weighs 7 kilograms when empty. toy trucks, which weigh 2 kilograms apiece, are shipped in a container weighing 5 kilograms. when packed with toys and ready for shipment, both kinds of containers have the same number of toys and the same weight. what is the weight of each container?

9 kg

Step-by-step explanation:

1. Let x be the number of car toys packed into container. Toy cars weigh 1 kilogram apiece and are shipped in a container that weighs 7 kilograms when empty, then the total weight of container with toy cars is

2. The number of toy trucks is also x. Toy trucks, which weigh 2 kilograms apiece, are shipped in a container weighing 5 kilograms, then the total weight of container with toy trucks is

3. When packed with toys and ready for shipment, both kinds of containers have the same weight. Thus,

4. The weight of each container is

  9 kg

Step-by-step explanation:

The toys have a difference in mass of 1 kg; the containers have a difference in mass of 2 kg, so it only takes 2 toys per container to make up the difference in container mass.

  2 cars @ 1 kg ea + 7 kg container = 9 kg

  2 trucks @ 2 kg ea + 5 kg container = 9 kg

The containers ready for shipment have a mass of 9 kg.

B

Step-by-step explanation: