Brown's grounds coffee is selling for $2.50 a pound is mixed with coffee from heaven selling for $2.80 a pound to produce 100 pounds of a blend selling for $2.62 per pound. how many pounds of each kind of coffee were mixed?

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

you have 6 cupcakes