Question

2. Divide $7200 into four parts proportional
to 1:2:3:4. How much is each part?

Answer 1

Answer: 720, 1440, 2160, 2880

Step-by-step:

Create arbitrary variable a, such that 7200 = a + 2a + 3a + 4a.

Reduce to get 720 = a

and plug in a into the set {a, 2a, 3a, 4a} to get the answer

Answer 2

Let's denote the first part as x. Then, the second part is 2x, the third part is 3x, and the fourth part is 4x. So, x + 2x + 3x + 4x = 10x = $7200. Solving for x, we get x = $720. Hence, the four parts are:

First part: $720
Second part: 2x = 2 * $720 = $1440
Third part: 3x = 3 * $720 = $2160
Fourth part: 4x = 4 * $720 = $2880