Apples cost $12 per dozen more than oranges and $18 per dozen less than pears. The cost of 2 oranges and 4 apples is the same as the cost of 4 pears. What is the cost of a pear?

@hartnn

Question

Apples cost $12 per dozen more than oranges and $18 per dozen less than pears. The cost of 2 oranges and 4 apples is the same as the cost of 4 pears. What is the cost of a pear?

@hartnn

anonymous · Answer

@Directrix @terenzreignz

anonymous · Answer

@satellite73

anonymous · Answer

@amistre64

amistre64 · Answer

what equations have you tried to develop?

anonymous · Answer

i let $x be the cost of one apple.

2(x-12/12)+4x=4(x+18/12)

rina.r · Answer

the question is not clear.

anonymous · Answer

i do think so

amistre64 · Answer

Apples cost:
    $12 per dozen more than oranges 
         and $18 per dozen less than pears.

12a = 12o+12,  solve for o
12a = 12p+16,  solve for p


2o +4a = 4p

What is p?

amistre64 · Answer

fingers aint awake yet ...  2nd equation:

12a = 12p - 18

anonymous · Answer

why so complicated @@

amistre64 · Answer

thats not complicated, thats just my interpretation of the information

anonymous · Answer

my brain hurts
if my answer is correct, these pears are way above my price range

anonymous · Answer

what's your answer?

amistre64 · Answer

a = o+1
2a = 2p-3

o +2a = 2p
p = 1/2 o +a

p = 1/2 o +o+1

p = 3/2o + 1

o = p - 5/2

p = 3/2 p - 15/4 + 1

-1/2p = -2.75

p = 5.50, maybe?

anonymous · Answer

that's correct. i think of this question about an hour. omg

anonymous · Answer

but the topic is "linear equation in one unknown"

amistre64 · Answer

then there is most likely a way to express it as 1 unknown; i got it down to p alone

anonymous · Answer

ohh....

o=(12a-12)/12

may be use the formula in this way...

amistre64 · Answer

maybe .... need more MtDew 8/

anonymous · Answer

what?

anonymous · Answer

o=(12a-12)/12
p=(12a-16)/12

then
2[(12a-12)/12]+4a=4[(12a-16)/12]

is it?

phi · Answer

It does not make sense that you treat this as "linear equation in one unknown"

it is 3 variables and 3 equations... and once you get to 3 or more variables I think elimination is the more straight-forward approach.

you would solve  (in the order a, o, p)
1  -1  0     1
1   0  -1  -1.5
4   2  -4     0

anonymous · Answer

but this worksheet is focus on linear equation in one unknown....

anonymous · Answer

why i got -ve number ????

amistre64 · Answer

12a = 12o+12
12a = 12p-18;  a = (2p-3)/2

12o + 12 = 12p - 18

2o+2 = 2p-3;  o = (2p-5)/2

2a + 4o = 4p;  sub in a and o to get it all in terms of p

2(2p-3)/2 +4(2p-5)/2 = 4p

2p-3 +4p-10 = 4p ; solve for p

6p-13 = 4p

2p = 13

p = 13/2 = 6.5 .... of course i most likely got some error in that lol

anonymous · Answer

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