7. The ratio of men to women in a group of 1210 people is 6:5. How many men and women are there in the group?
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Answer :
Number of men and number of women in the group are 660 and 550 respectively
Given :
The ratio of men to women in a group of 1210 people is 6 : 5
To find :
Number of men and number of women in the group
Solution :
Step 1 of 2 :
Form the equation
Here it is given that ratio of men to women in a group of 1210 people is 6 : 5
Let number of men and number of women in the group are 6x and 5x respectively
By the given condition
6x + 5x = 1210
Step 2 :
Find number of men and number of women in the group
6x + 5x = 1210
⇒ 11x = 1210
⇒ x = 1210/11
⇒ x = 110
Number of men in the group = 6x = 6 × 110 = 660
Number of women in the group = 5x = 5 × 110 = 550
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