Question

Your job is to sort and sack marbles for sale. A bag contains 120 marbles, some red and some blue. If there are 80 blue marbles, what is the ratio of red to blue marbles? A) 1:2 B) 1:3 C) 2:1 D) 2:3

Answer 1

(120-80):80=1:2 answer is 1:2

Answer 2

Option A is correct

1 : 2 is the ratio of red to blue marbles

Explanation:

Let the number of blue marbles be x and the number of red marbles be y.

As per the statement:

A bag contains 120 marbles, some red and some blue.

⇒Total number of marbles = x+y

⇒
`x+y=120` ......[1]

It is also given that if there are 80 blue marbles.

⇒x = 80

Substitute the value of x in [1] we have;

`80+y = 120`

Subtract 80 from both sides we have;

y = 40

We have to find the ratio of red to blue marbles

The ratio of red to blue marbles =
`(40)/(80)=(1)/(2)` = 1 : 2

Therefore, the ratio of red to blue marbles is, 1 : 2.