math help plz

Question

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 190 pounds of blended coffee beans selling for $3.82 per pound. She plans to do this by blending together a high-quality bean costing $5.00per pound and a cheaper bean at $2.50 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.

She should blend _______ lbs of high quality beans.

Answer 1

Allegation

 

HAVE      WANT      NEED

5.00........................1.32..........

..............3.82.........................

2.50........................1.18.........

 

So, you need 1.32 parts of the $5 bean and 1.18 parts of the $2.50 bean for a total of 2.5 parts

2.5 parts = 190 pounds, so 1 part = 76 parts

 

1.32 parts x 76 = 100.3 pounds of $5.00 bean

1.18 x 76 = 89.7 pounds of $2.50 bean

 

Done another way:

(x lbs)(5.00) + (y lbs)(2.50) = 190 lbs x 3.82

x + y = 190 lbs

 

x = 190 - y

(190-y)(5.00) + 2.50y = 725.80

950 - 5.00y + 2.50y = 725.80

-2.50y = -224.20

y = 89.7 pounds of $2.50 bean

x = 100.3 pounds of the $5.00 bean