Write a system of equations

Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

One Friday night, two large groups of people called Livingston Taxi Service. The first group requested 1 sedan and 2 minivans, which can seat a total of 16 people. The second group asked for 3 sedans and 2 minivans, which can seat a total of 24 people. How many passengers can each type of taxi seat?

A sedan can seat  people, and a minivan can seat  people.

Answer 1

Sedan holds x people

Minivan hold y people

x + 2y = 16

3x + 2y = 24

Subtracts the equations:

2x = 8

x = 4

then y=6

Sedan holds 4 people and the minivan holds 6