A store sells brand X pens for 5 dollars each, brand Y pens for $4 each and brand Z pens for $3 each. There are a total of 36 of these three types of pens in the store, the number of brand X pens is twice sum of the number of brand Y pens and brand Z pens, and the difference of the number of brand Y pens and the number of brand Z pens is 2. What is the largest possible total amount that three types of pens will be sold for?	Choose the correct choice from the following choices
A) $163
B) $159
C) $156
D) $148
E) $125
Max price = 5X+4Y+3Z -------(1)   Given: X+Y+Z = 36 -------(2)   Given: X = 2(Y+Z) --------(3)   Substitute (3) in (2) Y+Z = 12 -----(4)   Given: Y-Z = 2 ----(5)   Using equations (4) and (5) Y = 7 and Z = 5.   Substitute Y and Z in 3 we get X = 24   Substitute X, Y and Z in (1) we get answer = 163 i.e.   $163NSWER:$163
<result>A</result>
A store sells brand X pens for 5 dollars each, brand Y pens for $4 each and brand Z pens for $3 each. There are a total of 36 of these three types of pens in the store, the number of brand X pens is twice sum of the number of brand Y pens and brand Z pens, and the difference of the number of brand Y pens and the number of brand Z pens is 2. What is the largest possible total amount that three types of pens will be sold for?