Posted on 11/16/2009 5:57:35 PM PST by netmilsmom
Logic appears sound. I didn’t check your computation skills though.
I gave this to my 13 yr old...she is on the couch figuring it out.
Oh, good. Either I can still do algebra or both of us are wrong the same way.
Wait.
Did we just get sucked into doing someone’s homework for them?
“What is the rest of the something its asking for?”
Turkey.
Pie
Trimmings.
Nothing much, actually. ;>
Let A be the price of a pound of apples.
Let B be the price of a pound of sweet potatoes.
Let C be the price of a pound of onions.
Since 6 pounds of apples costs the same as 9 pounds of sweet potatoes:
6A=9B
Since a pound of sweet potatoes costs twice what a pound of onions cost:
B=2C
We can substitute B=2C into 6A=9B and get:
6A=9(2C)
which is
6A=18C
or
A=3C
We also know a pound of apples costs 24 cents more than a pound of onions:
A=24+C
But since we know A=3C, we know
3C=24+C
or
2C=24
or
C=12
So since A=24+C,
A=36
And since we know B=2C (look up a bit), we know
B=24
This is the simplest way I can see it.
x = Sweet Potatoes
y = Apples
z = Onions
9x = 6y Laymen’s terms: 9 lb. Sweet Potatoes = 6 lb. Apples)
1x = 2z Laymen’s terms: 1 lb. Sweet Potatoes = 2 (1 lb. Onions)
1y = $0.24z Laymen’s terms: 1 lb. Apples = $0.24 (1lb. Onions)
First write out the equations.
Unknowns:
1 Cost of sweet potatoes (SP)
2 Cost of apples (A)
3 Cost of onions (O)
Equations:
1 9 lbs SP * $SP/lb = 6 lbs A * $A/lb
2 1 lb SP = 2 * 1lb Onions * $O/lb
3 lb A * $A/lb = $0.24 + 1 lb Onions *$0/lb
Oh my Goodness, Thank you so much!!!!!!!!!!!!!!
American voter: Mr. President, how much is a pound of bacon.
Barack the Buffoon: Sorry, I don’t eat pork.
Hey, I gave it a shot.
I would have been quicker but I had to wait for the beeber to warm up.
There are times a parent needs some help.
There are times a parent needs some help.
It's three variables so you need three equations, which is what you are given.
9S = 6 A
1S = 2O
1A = 1O + 24
Then you substitute. Do it the easy way. Probably the easiest way to do it is:
Take the third equation where 1A = 1O + 24 and substitute the left hand side for A in the first equation. Now you have:
9S = 6(1O + 24) OR 9S = 6O + 144
which solves to s = (6O + 144)/9 or S = 2/3O + 16
Now take that and solve the second equation: 2/3O + 16 = 2O is the same as 1 1/3 O = 16 or O = 12
Now you have one answer. Plug it in to the S = 2/3O + 16 and you get S = 24
And plug into the third equation: 1A = 1 O +24 or A = 36
Please let me know if I can clarify any of these steps for you... Then
Theoretically speaking, strictly of coarse from a hypothetical standpoint, I haven’t a clue.
No, It’s really me.
Net has the problem. We’ve been trying to figure it out all day.
I knew the FReepers would come through!!!!!
LOL. I just signed up and no one said anything about quizzes.
Once that's solved, perhaps there is some FReeper English whizzes that can step in.
See if this works:
Onions = N
Apples = A
Potatoes = P
Given:
A = N + 0.24
6A = 9P
P = 2N
Simplify:
6A = 9P
A = (9/6)P = (3/2)P
P = 2N
N = (1/2)P
A=A therefore
N + 0.24 = (3/2)P
N = (1/2)P therefore
(1/2)P + 0.24 = (3/2)P
0.24 = (3/2)P - (1/2)P
0.24 = P((3/2)-(1/2))
0.24 = P(1)
P = 0.24
N = (1/2)P
N = (1/2)(0.24)
N = 0.12
A = (3/2)P
A = (3/2)(0.24)
A = 0.36
(N) Onions = $0.12/lb
(A) Apples = $0.36/lb
(P) Potatoes = $0.24/lb
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