A Grocer Wishes to Mix Two Kinds of Nuts Costing $2.26 x + 3.93 ( 124 - x ) = 292.64$

Multiple Choice

A grocer wishes to mix two kinds of nuts costing $2.26 per pound and $3.93 per pound to make a 124 pounds of mixed nuts costing $2.36 per pound. To determine the number of pounds of the $2.26 per pound nuts in the mixture, solve for x in the equation $2.26 x + 3.93 ( 124 - x ) = 292.64$ . How many pounds of the $2.26 per pound nuts should be included in the mixture? Round to the nearest pound.

A) $7$ pounds
B) $62$ pounds
C) 5 pounds
D) $82$ pounds
E) $117$ pounds