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dalvyx [7]
4 years ago
8

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 p

er 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 ?
Mathematics
1 answer:
Pie4 years ago
8 0

Answer: 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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