Aldo’s coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs 5.6 per pound. type b costs 4.05 per pound. if 160 cups of blend are sold , for a total cost of 751.85. how many pounds of type b coffee did he use ?

93

Step-by-step explanation: Since 160 cups of blend are sold , this means

A + B = 160

Since Type A is sold for 5.6 per pound , that means the total number of A sold = 5.6A

Also , Type B is sold for 4.05 per pound , the total number of B sold = 4.05B

And it was given that the total cost of blend = 751.85 , then

5.6A + 4.05B = 751.85

A + B = 160       ............................. eqn 1

5.6A + 4.05B = 751.85 ..................... eqn II

From eqn I , A = 160 - B ................ eqn III

Substitute A = 160 - B into equation II , then we have:

5.6(160 - B) + 4.05B = 751.85

Expanding , we have

896 - 5.6B + 4.05B = 751.85

896 - 1.55B = 751.85

collecting the like terms

1.55B = 896 - 751.85

1.55B = 144.15

Therefore B = 144.15/1.55

B = 93

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

14

step-by-step explanation: