Question

A successful lawyer ownsthree vintage cars. The ratio of car is value to 1's value is 3:4. The ratio of car 2's value tocar 3's is 8:5. d the total value of three cars is $1115900, fins the value of each car

Answer 1

Answer: the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

Explanation:

Let's call the value of car 1 "x".

From the first ratio, we know that the value of car 2 is 4/3 times greater than the value of car 1, and the value of car 3 is 3/4 times greater than the value of car 1.

So, the value of car 2 is 4/3 * x, and the value of car 3 is 3/4 * x.

From the second ratio, we know that the value of car 2 is 8/5 times greater than the value of car 3.

So, the value of car 2 is 8/5 * (3/4 * x) = 6/5 * x.

The total value of all three cars is $1115900, so we can set up an equation to solve for x:

x + 4/3 * x + 3/4 * x = 1115900

Expanding and simplifying the right side:

x + 4/3 * x + 3/4 * x = 1115900

8/3 * x = 1115900

x = 1115900 * 3 / 8

x = 467125

So, the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

Answer 2

Answer: Let's represent the value of car 1 as x. Then, the value of car 2 is 3/4 of x, and the value of car 3 is 4/5 of the value of car 2.

So, we can write the following equations:

x = (3/4) * y

y = (4/5) * z

Where y is the value of car 2, and z is the value of car 3.

Adding all the values, we have:

x + y + z = 1115900

We can substitute the values of y and z in terms of x:

x + (3/4) * x + (4/5) * (3/4) * x = 1115900

Simplifying the expression on the left side, we get:

7/4 * x = 1115900

Finally, dividing both sides by 7/4, we get:

x = 359900

So, the value of car 1 is $359900, the value of car 2 is (3/4) * x = (3/4) * 359900 = 269925, and the value of car 3 is (4/5) * (3/4) * x = (4/5) * (3/4) * 359900 = 213140.

Explanation: