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.
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
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