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

Question

4 years ago

8

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 ?

1 answer:

Pie · Answer 1 · 2022-01-04T04:02:27+03:00

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