There are 20 orange skittles and 10 red skittles since 10 20 is 2 Times more than 10.
Because he needs less than (note that he didn't say he needs no more than) 6 pounds, first inequality is C) x+y<6
Now in inequalities that have 7 and 5 in them, 7 represents the cost of first ingredient and 5 the cost of second ingredient. If we multiply each of that number with quantity of that ingredient and sum both up we get the price of the mixture.
Because he says that he wants that mixture costs no more than 30 that means that it costs less than 30 but 30 can be the answer as well.
The last answer is E) 7x + 5y
M∠X = 54.3°.
Using the Law of Sines, we have:

Cross multiplying gives us
61(sin 34) = 42(sin X)
Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X
Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X