Question 1201031
a = numbr of compact cars
b = number of intermediate size cars.
c = number of full size cars.
we'll work in thousands.
16,000 = 16
24,000 = 24
31,000 = 32
2.16 million = 2,160,000 = 2160
a + b + c = 100
16a + 24b + 32c = 2160
since a = 2b, you can replace a with 2b in the equations to get:
2b + b + c = 100
16*2b + 24b + 31c = 2160
simplify and combine like terms to get:
3b + c = 100
56b + 32c = 2160
these are 2 equations that need to be solved simultaneously that you can then use to solve for b and c.
from that, you can then solve for a.
when you solve this, you should get a = 52, b = 26, c = 22, all in thousands.
that results in 52 * 16000 + 26 * 24000 + 22 * 32000 = 2,160,000.
let me know if you have any trouble doing that.