A hardware supplier manufactures three kinds of clamps, types A, B, and C. Production restrictions force it t make 10 more type C clamps than the total of the other types and twice as many type B clamps as type A clamps. The shop must produce 310 clamps per day. How many of each type are made per day?

Solution:

A:x

B:y

C:z

z= 10+(x+y)

y =2x

x+y+z =310

x=50

y=100

z=160

So

A:50

B:100

C:160