Question 262723
This is a mixture problem. Here is a table based on the above information:
nuts . . . . . . . . . . $ . . . . . . . . . lb . . . . . . . . . .$lb
cashews  . . . . . . .$6.75. .  . . . . X. . . . . . . . . . 6.75X
brazil  . . . . . . . . .$5.00. . . . .  50-X. . . . . . . . 250 - 5X 
mixture  . . . . . . . $5.70. . . . . . 50. . . . . . . . . .285
Notice the last column, we have the following equation:
{{{6.75x +250 - 5x = 285}}}
combine like terms on the left to get
{{{1.75x + 250 = 285}}}
subtract 250 to get
{{{1.75x = 35}}}
divide to get
{{{x = 20}}}
we need 20 lb of cashew and 30 lb of brazil