Answer: the number of pounds of Brown's Grounds Coffee that was mixed is 60
the number of pounds of Coffee From Heaven that was mixed is 40
Step-by-step explanation:
Let x represent the number of pounds of Brown's Grounds Coffee that was mixed.
Let y represent the number of pounds of Coffee From Heaven that was mixed.
Brown's Grounds Coffee is selling for $2.50 a pound is mixed with Coffee From Heaven selling for $2.80. 100 pounds was produced and sold at the rate of $2.62 per pound. This means that the total cost of the blend produced is 100×2.62 = $262. Therefore
2.5x + 2.8y = 262 - - - - - -- - -- - -1
x + y = 100
Substituting x = 100 - y into equation 1, it becomes
2.5(100 - y) + 2.8y = 262
250 - 2.5y + 2.8y = 262
- 2.5y + 2.8y = 262 - 250
0.3y = 12
y = 12/0.3 = 40
x = 100 - y = 100 - 40
x = 60
