Almonds sell for $3.00 per pound and Peanuts for $6.00 per pound. How many pounds of peanuts should be mixed with 12 pounds of almonds in order to create a mixture that sells for $4.20 per pound. How would the equation be written. I think the answer is 8 but can't seem to get the equation. Help please.
2007-01-31 14:50:16 · 5 answers · asked by cookie 3 in Science & Mathematics ➔ Engineering
The cost of 12 pounds of Almonds is $3.00x12 = $36
Let x pounds be the weight of the peanuts and your total weight in pounds is 12+x
Total cost is $36 + $6x
Cost per pound is ($36 + $6x)/ (12+x).
Setting the desired result to be $4.20 per pound,you have:
($36 + $6x)/ (12+x) = $4.20
$6($6+x)/ (12+x) = $4.20
$6($6+x) = $4.20(12+x)
$6+x = $4.20(12+x)/$6
$6+x = $0.7(12+x)
$6+x = $8.4+$0.7x
x-$0.7x = $8.4-$6
x($1-$0.7)= $2.4
$0.3x = $2.4
x=$2.4/$0.3
= 8
Therefore, your answer is 8 pounds.
2007-01-31 15:22:55 · answer #1 · answered by Anonymous · 0⤊ 0⤋
(3A + 6P)/W = C
Where A is almonds, P is peanuts, W is total weight and C is cost per pound. So with your variables entered it's going to come out:
(3*12 + 6P)/(12+P) = 4.2
And yes, when you calculate that out, P = 8.
2007-01-31 22:59:51 · answer #2 · answered by kilauea0612 4 · 0⤊ 0⤋
3x + (6 * 12) = 4.20 (x + 12)
3x + 72 = 4.2x + 50.4
72 = 1.2x + 50.4
21.6 = 1.2x
18 = x
2007-01-31 22:58:35 · answer #3 · answered by Edgard L 2 · 0⤊ 0⤋
3(12-x)*6(x)=4.2
3(#lbs almonds) * 6(#lbs peanuts) = 4.2 dollars
x is number of lbs peanuts.
2007-01-31 22:55:54 · answer #4 · answered by tsbski 3 · 0⤊ 0⤋
i think its.. learned this like a couple weeks ago.. 36*6x*4.20x.. is that what u have.. the answer i got was...1.4 but your probably correct cause its a whole # ... are u in 8th grade??
2007-01-31 22:55:20 · answer #5 · answered by Tina 2 · 0⤊ 0⤋