There are so many words in this problem that it sounds complicated, and it's hard to see how simple it really is.
It tells you . . . She has 'x' male cousins. She has '2x' female cousins.
So, how many cousins does she have altogether ? (x + 2x) = 3x
Now it tells you . . . She has less than 23 cousins altogether.
Fine. So 3x is less than 23 .
How do you write that in algebra ?
*** 3x < 23***
Isn't it amazing how they can take something so simple and make it seem so complicated ? ! ?
To solve 3x < 23 , divide both sides by 3 to isolate x , which gives x < 7.67 . Therefore, x can be whole numbers from 0 to 7, leading to a maximum total of 21 cousins when x is 7. The calculations show how both male and female cousins are related to x .
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