SOLUTION: Trader Joe has 3 pounds of walnuts and 6 pounds of almonds sell for $51. Five pounds of walnuts and 4 pounds sell for $55. Find the price of 1 pound of almonds. I am Totally confu

Question 79317: Trader Joe has 3 pounds of walnuts and 6 pounds of almonds sell for $51. Five pounds of walnuts and 4 pounds sell for $55. Find the price of 1 pound of almonds.
I am Totally confused. Trying to help my son. Please help.
Found 2 solutions by Earlsdon, ptaylor:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let W = the price of walnuts per pound.
Let A = the price of Almonds per pound.
From the problem description, you can write:
1) and
2)
To solve this sytem of equations by elimination, multiply equation 1) by 5 and equation 2) by 3.
1a)
2a)
----------------------
1a)
2a) Subtract equation 2a) from equation 1a)
----------------------
3) Divide both sides by 18.

The price of almonds is $5.00 per pound.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x= cost of 1 lb walnuts
And y=cost of 1 lb almonds
Now we are told that:
3x+6y=$51--------------------------eq#1
We are also told that:
5x+4y=$55------------------------------eq#2
Multiply eq#1 by 5 and we get:
15x+30y=$255-------------------------New eq#1
Multiply eq#2 by 3 and we get:
15x+12y=$165------------------------New eq#2
Subtract new eq#1 from new eq#2 and we get:
18y=90 divide both sides by 18
y=$5.00------------------------------- cost of 1 lb of almonds

substitute $5.00 for y in eq #1
3x+30=51 subtract 30 froom both sides
3x=21 divide both sides by 3
x=$7.00-----------------------------------cost of 1 lb of walnuts
CK

3*$7+6*5=$51
$21+$30=$51
$51=$51
also
5*$7+4*$5=55
$35+$20=$55
$55=$55

Hope this helps----------------ptaylor

RELATED QUESTIONS
If almonds sell at $1.20 per pound and walnuts sell for $0.75 per pound, how many pounds... (answered by Paul)
if almonds sell at $1.20 per pound and walnuts sell for $.75 per pound, how many pounds... (answered by checkley77)
A grocer mixes walnuts selling at 55 cents a pound and almonds selling at 70 cents a... (answered by stanbon)
Marcus is inventing a new cookie recipe. He'd like the recipe to contain both walnuts and (answered by ptaylor)
Marcus is inventing a new cookie recipe. He'd like the recipe to contain both walnuts and (answered by josmiceli)
A nut shop sells almonds for $1.80 a pound, walnuts for $1.30, and peanuts for $.65 a... (answered by josmiceli)
a store is having a sale on walnuts and chocolate chips. For 4 pounds of walnuts and 8... (answered by ikleyn)
A store is having a sale on chocolate chips and walnuts. For 4 pounds of chocolate chips... (answered by Boreal,josgarithmetic)
Brazil nuts sell for $5 per pound and walnuts are sell for 3.50 per pound. How much of... (answered by checkley71,josmiceli)