Question

There are red, blue and green bulbs in a box. The ratio of the weights of red and
blue bulbs is 3:5; blue and green bulbs is 4:3. If the weight of blue bulbs is 100
gm, then find the weights of the other two bulbs and determine the ratio of their
weights.​

Answer 1

Answer:

Given:

Ratio of weights of red and blue bulbs=3:5

Ratio of weights of blue and green bulbs=4:3

Weight of blue bulbs=100gm

Explanation:

Let the weight of red balls be x; and

weight of green balls be y

Solution 1:

By proportional method:

3:5::x:100

Since, product of means=product of extremes

3×100=5x

x=3×100/5

x=60gm

Weight of red balls=60gm

Solution 2:

By proportional method:

4:3::100:y

Since, product of means=product of extremes

4y=3×100

y=300/4

y=75gm

Weight of green balls=75gm

Solution 3:

Ratio of weight of red balls to green balls=x:y

=60:75

=4:5

OR

Ratio of weights of green balls to red balls=5:4

Since,the ratio to the balls is not given hence I wrote 4:5 or 5:4.