Question

"The first type costs $2 per pound and the second costs $7 per pound. How much of each type does Mavis use to make 50 pounds of a blend which costs $5 per pound?

Answer 1

First type (x) = 20 pounds

Second type(y) = 30 pounds

Explanation:

Consider,

First type as x and second type as y.

Making linear equations:

x + y = 50.............1)

2x + 7y = (5*50)

2x + 7y = 250........2)

Solving above two simultaneous equations:

From first equation: y = 50-x

put this into second equation:

2x + 7(50-x) = 250

Solving for x:

2x + 350 -7x = 250

-5x = -100

x = 20

Putting x = 20 in first equation:

20 +y = 50

y = 50-20 = 30

Therefore,

x = 20

y = 30