In order to solve this, you have to set up a systems of linear equations.
Let's say that children = c and adults = a
30a + 12c = 19,080 a + c = 960
I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.
a + c = 960 - c - c ---------------------- ⇒ Step 1: Solve for either a or c in either equation. a = 960 - c
20(960 - c)+ 12c = 19,080 19,200 - 20c + 12c = 19,080 19,200 - 8c = 19,080 - 19,200 - 19,200 ---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c 8c = -120 into the opposite equation. ------ --------- 8 8
a = 642 __________________________________________________________
I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong.
Guest
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$30x+$12y=$19080
x+y=960
y=960-x
30*x+12*960-x=$19080
30x-12x=-7560
-18x=-7560
x=-7560/-18
x=420
therefore there are 420 children
960-420=540
and there are 540 adults
From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.
Answer: resulting cross section is a hexagon, correct choice is option 4.
You can refer to the attachment for the rate. Since he is forty-seven years old, use that age to find his rate under a twenty-year endowment insurance. In this case, the rate is 46.99. Multiply that rate to 20 since he purchased a 20-year endowment insurance with a face value of $20,000. (20,000/1,000 = 20)
