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When 25 is added to one-half of a certain number, the total is 54. What is the original number?

A) 54

B) 55

C) 56

D) 57

E) 58

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If \( a\) and \(b\) are positive integers, what are all the solutions \( (a,b) \) of the equation

\[ 3a + 4b = 19?\]

A) \( (1, 4) \) only

B) \( (3, 3) \) only

C) \( (5, 1) \) only

D) \( (1, 4) \) and \( (5, 1) \) only

E) \( (1,4) \) and \( (3,3) \) only

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If \( a+b = 4 \) and \( (a+b) c = 20 \), what is the value of \(c\)?

A) 3

B) 4

C) 5

D) 6

E) 10

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When 50,000 is written as \( 5.0 \times 10^n \), what is the value of \(n\)?

A) 3

B) 4

C) 5

D) 6

E) 7

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The farmer Chuck planted soybeans on \( \frac{ 1}{3} \) of his land. If he planted \( 30 \) acres of soybeans, how many acres of land does he own?

A) 10

B) 30

C) 90

D) 150

E) 300

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