Joan and Karl each bought a telescopes and the sum of their purchases was $400. If twice of what Joan paid was $74 more than what Karl paid, what did Joan pay for her telescope?  Choose the correct choice from the following choices: A) $ 150 B) $ 152 C) $ 154 D) $ 156 E) $ 158

Rationale: j + k = 400 so k = 400 - j 2 j = k + 74 2 j = ( 400 - j ) + 74 3 j = 474 j = 158 the answer is e .
Answer: E