How many pounds of lima beans that cost 90cents per pound must be mixed with 16 lb of corn that cost 50cents per pound to make a mixture of vegetables that cost 65cents per pound?

Question

Here are a few more questions.

Solution A is 50% acid and solution b is 80% acid. How much of each should be used to make 100cc. of a solution that is 68% acid?

A farmer has some cream which is 21% butterfat and some that is 15% butterfat. How many gallons of each must be mixed to produce 60 gallons of cream which is 19% butter fat.

A hair dye is made by blending 7% hydrogen peroxide and a 4% hydrogen peroxide solution. How many milliliters of each are used to make a 300 ml solution that is 5% hydrogen peroxide?

Answer 1

90x + 16*50 = 65(x+16)

90x + 800 = 65x + 1040

25x = 240

x = 240/25 = 9.6

0.5x + 0.8y = 100*0.68

x + y = 100 ---> y = 100 -x

===================================

0.5x+ 0.8 *(100 -x) = 68

0.5x + 80 - 0.8x = 68

-0.3x = -12

-3x = -120

x = 40 ---> y = 60

=======================================

Now Please read through these problems and try the last two

on your own