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

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i believe that john has 55 pieces of candy left.

!

step-by-step explanation: