Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare?

190 pounds of blended coffee beans selling for $4.05 per pound. She plans to do this by blending together a high-quality bean costing $5.00 per pound and a cheaper bean at $3.00 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.

Question

Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare?

190 pounds of blended coffee beans selling for $4.05 per pound. She plans to do this by blending together a high-quality bean costing $5.00 per pound and a cheaper bean at $3.00 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.

nurali · Answer

Let x = pounds of the 5 dollar a pound coffee
Let y = pounds of the 3 dollar a pound coffee

nurali · Answer

$$\frac{ 5x+3y }{ 190}=4.05$$ 

and 

$$x+y=190$$

nurali · Answer

YES. TWO Equations. They are both linear equations. Work with the ratio equation so it is either easier to use for substitution or so it is in Standard Form

nurali · Answer

$$5x+3y=190*4.05$$

$$5x+3y=769.5$$

$$5(190-y)+3y=769.5$$

nurali · Answer

$$950-5y+3y=769.5$$

$$-2y=-180.5$$

$$y=90$$

and 

$$x=100$$

nurali · Answer

x=100 pounds, the more expensive coffee
 y=90 pounds, the cheaper coffee