Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Sandra works in the shipping department of a toy manufacturer. Toy cars weigh 1 kilogram apiece and are shipped in a container that weighs 10 kilograms when empty. Toy trucks, which weigh 5 kilograms are shipped in a container weighing 2 kilograms. When packed with toys and ready for shipment, both kinds of containers have the same number of toys and the same weightWhat is the weight of each container? What is the number of toys? Each container weighskilograms and contains toys
Let x be the number of toys in each container.
Let y be the weight of each container.
For the toy cars:
1x + 10 = y
For the toy trucks:
5x + 2 = y
Since both containers have the same number of toys and weight:
1x + 10 = 5x + 2
Substitute the first equation into the third equation:
1x + 10 = 5x + 2
Subtract 1x from both sides:
10 = 4x + 2
Subtract 2 from both sides:
8 = 4x
Divide by 4:
x = 2
Now, substitute x back into the first equation to find y:
1(2) + 10 = y
2 + 10 = y
y = 12
Therefore, each container weighs 12 kilograms and contains 2 toys.