Question

6) Brand X sells 25 kg bags of mixed nuts

that contain 41% peanuts. To make their
product they combine Brand A mixed nuts
which contain 35% peanuts and Brand B
mixed nuts which contain 45% peanuts.
How much of each do they need to use?

Answer 1

25*0.41 = 0.35a + 0.45b
10.25 = 0.35a + 0.45b

a + b = 25
a = 25 - b

10.25 = 0.35a + 0.45b
10.25 = 0.35(25-b) + 0.45b
10.25 = 8.75 - 0.35b + 0.45b
1.5 = 0.1b
b = 15

a = 25 - 15
a = 10

Check

10.25 = 0.35a + 0.45b

10.25 = 0.35(10)+ 0.45(15)
10.25 = 3.5 + 6.75
10.25 = 10.25 :)