Answer:
#19: Let's represent the number of boy students as x. Then the number of girl students would be x + 150. The total number of students at the school is 1250, so we have:
x + (x + 150) = 1250
Expanding and simplifying the equation:
2x + 150 = 1250
2x = 1100
x = 550
So, there are 550 boy students and 700 girl students at Ranger University.
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#20: Let's represent the price of a soda as S and the price of a popcorn as P. Then we can write the following two equations to represent the information given:
2S + 4P = 34
3S + 3P = 33
Solving for S in the first equation, we have:
S = (34 - 4P)/2
Substituting this expression for S into the second equation, we have:
3((34 - 4P)/2) + 3P = 33
Expanding and solving for P, we have:
P = 2
So, the price of one soda is $17 and the price of one popcorn is $2.