# Sue has red apples worth 2.30$ per pound and green apples worth 1.90$ a pound How many pounds of each should she mix to get a mixture of 20 pounds worth 2.06$ per pound?

##### 2 Answers

8 pounds of red apples

12 pounds of green apples

#### Explanation:

The "pounds" is the variable with different cost factors.

The total package of 20 pounds will have a value of

The components of this value are from the two apple types:

Substitute this into the overall equation:

Solve for

Solve for

CHECK:

Red apples

Green apples

#### Explanation:

Let Red Apples, bought be

Let Green Apples, bought be

Then-

#x + y = 20# in terms of quantity --------------- (1)

#(x xx 2.30) +(y xx 1.90) =20 xx 2.06# in terms of money

#2.3x+1.9y=41.2# ------------ (2)

Solve equation (1) for

#x=20-y#

Substitute

#2.3(20-y)+1.9y=41.2#

#46-2.3y+1.9y=41.2#

#-0.4y=41.2-46=-4.8#

#y=(-4.8)/(-0.4)=12#

#y= 12#

Substitute#y= 12# in equation (1)

#x+12=20#

#x=20-12=8#

#x=8#

Red apples

Green apples