Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1 screws and 5 nails?  Choose the correct answer:  A) a. 4  B) b. 5/2  C) c. 2  D) d. 3/2  E) e. 5/4
let the weight of nail be n and that of screw be s..   so s+w=1/2 * (6s+1n)...   or 1n = 4s..   lets see the weight of 3 s and 3n= 3s+3*4s=15s..   and weight of 1s and 5n3 +3*4= 
<gadget id="calculator">3 +3*4</gadget>
<output>15</output>
15s..   and weight of 1s and 5n= 1s+5*1s=6s..   ratio1 +5*1= 
<gadget id="calculator">1 +5*1</gadget>
<output>6</output>
6s..   ratio= 15s/6s=15/6=5/2   b. 5/2
<result>B</result>
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1 screws and 5 nails?