Question

2a = 3b and 4b=5c. determine the ratio a:b:c.​

Answer 1

Answer:

15:10:8

Step-by-step explanation:

2a=3b. Thus, a:b= 3:2

4b=5c. Thus, b:c= 5:4

For the sake of finding a:b:c, we write:

3 2 5 4, in a P Q R S fashion.

a= PR= 3x5= 15

b= QR= 2x5= 10

c= QS= 2x4= 8.

Let's check the result.

2x15= 3x10. Thus, 2a= 3b

4x10= 5x8. Thus, 4b= 5c

Answer 2

In context to question asked,

We have to determine the ratio of a, b and c.

As per question,

We have,

2a = 3b and 4b=5c

So, we can write it as,

$2a = 3b----(1)\\ 4b=5c -----(2)$

So, for equalizing the ratio of "b" we will multiply first equation by 4 and second equation by 3.

Thus we will get,

$8a = 12b --------(3)\\12b = 15c--------(4)$

Now, we can rewrite the above equation combinedly as,

$8a=12b=15c\\=>a:b:c = 8:12:15$

Hence, ratio of a, b and c will be 8:12:15.