Question

There were some marbles at a shop. The ratio of the number of red marbles to the number of blue marbles was 2:3. When 50 more red marbles and 30 more blue marbles were added, the ratio of the number of red marbles to the number of blue marbles became 5:6. How many marbles were there at first?

Answer 1

let the no of  red marbles be 2x and no of blue marbles be 3x 
given that (2x + 50) : (3x + 30)= 5:6
solving we get x = 14 
so no of red marbles are 2 × 14 = 28 and no  of blue marbles are 3 × 14 = 42

Answer 2

Answer:

Step-by-step explanation:

5 parts red -50 is 2/3 of 6 parts Blue-30,

So we can equate

(5P-50)/2 = (6P-30)/3

15P-150=12P-60

3P-90=0

P=30

Red = 5P-50=100

Blue = 6P-30=150