Answer:
There are 75 ways to form the committee.
Step-by-step explanation:
The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:
There are 75 ways to form the committee.
If you multiply the top equation by -2 you get:
-4x -14y = 14 => -4x = 14+14y
now you can plug in the -4x into the second equation:
14+14y - 3y = -19 => 11y = -33 => y=-3
Fill in y=-3 in either equation to find x:
2x - 21 = -7 => 2x = 14 => x=7
So your ordered pair is (7,-3)
To find out how much money Casey and her two friends will each get, we simply need to divide the total amount of income by the amount of people receiving a part of it
54 / 3 = 18
Casey and her two friends each got $18 from their lemonade stand.
Hope that helped! =)
Answer:
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Step-by-step explanation:
