Incomplete question:
A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $8 a pound should be added to 20 pounds of coffee worth $5 a pound to get a mixture worth $6 a pound?
Answer:
a = 10 pounds
Explanation:
Let , a = pounds of $8 coffee per pound needed
$8a = cost of the $8 coffee/pound used
20 × 5 = cost of $5/pounds coffee for 20 pounds
$100 = cost of $5/pound coffee for 20 pounds
Rate = cost of coffee needed/ amount of pounds needed
(8a + 100)/( a + 20) = 6
cross multiply
8a + 100 = 6(a + 20)
8a + 100 = 6a + 120
8a - 6a = 120 - 100
2a = 20
divide both sides by 2
a = 20/2
a = 10 pounds
