a grocer wants to mix x pounds of cashew nuts worth $7.00 per pound with 9 pounds of peanuts worth $3.00 per pound to obtain 9+x pounds of mixture worth $5.00per pound. Total cost of cashews + Total cost of peanuts = Total cost.
Total cost of cashews + Total cost of peanuts = Total cost. total cost of cashews=$7 * x=7x total cost of peanuts=$3 * 9=27 total cost=(9+x) * $5=45+5x 7x+27=5x+45 subtract 5x from both sides: 2x+27=45 subtract 27 from both sides: 2x=18 x=9 pounds of cashews