Math, asked by batikadevkota, 1 month ago

340 people participated in a conference, if the ratio of ladies and gentlemen is 3:2 , find the number of ladies and gentlemen.

Answers

Answered by RehanAk73
4

Answer:

There were 204 ladies and 136 gentlemen in the conference

Step-by-step explanation:

Let's set the variables:

⇒ L = number of ladies in the conference

⇒ G = number of gentlemen in the conference

We know 340 people participated in the conference, thus:

L + G = 340        [1]  

We are also given the ratio of ladies and gentlemen as 3:2, thus:  

L/G = 3/2

Cross-multiplying:

2L = 3G        [2]

From [1]:

L = 340 - G

Substituting in [2]:

⇒ 2(340 - G) = 3G

⇒ Operating:

⇒ 680 - 2G = 3G

⇒ 5G = 680

⇒ G = 680/5 = 136

⇒ G = 136

⇒ L = 340 - 136 = 204

⇒ L = 204

There were 204 ladies and 136 gentlemen in the conference

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