Posted by **Matt** on Tuesday, May 10, 2011 at 12:37pm.

Word problems confuse me.

THe owner of a fancy food shoppe wants to mix cashews selling at $8/kg and pecans selling at $7/kg. How many kg of each kind of nuts should be mixted to get 8 kg worth $7.25/kg?

- algebra -
**Henry**, Wednesday, May 11, 2011 at 3:02pm
$8/kg*Xkg + $7kg*Ykg = 7.25/kg*8kg,

Eq1: 8X + 7Y = 58,

Eq2: X + Y = 8,

Multiply Eq2 by -8, add the 2 Eqs and get:

-Y = -6,

Y = 6kgs of pecans.

Substitute 6 for Y in Eq2 :

X + 6 = 8,

X = 2 kgs of cashews.

## Answer this Question

## Related Questions

- algebra 1 - The owner of the Fancy Food Shoppe wants to mix cashews selling at $...
- wossmaan - the nuttyy shoppe has 10 kg of mixed pecans and cashews which sell ...
- college algebra - A store sells cashews for $5.00 per pound and peanuts for $1....
- finitemath - a store sells cashews for $5.00 per pound and peanuts for $1.50 per...
- math - A man sells a nut mixture consisting of 1/3 pecans and 2/3 cashews. ...
- math - A nut wholesalersells a mix of peanuts and cashews. He charges $2.80 per ...
- Math - A grocery store wants to make a mixture of nuts consisting of cashews and...
- Algebra Word Problem - Peanuts are selling for $2 per pound, and cashews are ...
- Algebra Packet (a lot of questions!) - Ok, there a lot of questions from the ...
- math - The owner of a home decorating shop wants to mix dried rose petals ...