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