Two oranges, three bananas and four apples cost 15$. Three Oranges, Two Bananas and one apple cost 10$. I bought 3 oranges, 3bananas and 3apples, how much do I pay? Please give me the answer with correct explanation.
2007-04-18 22:21:45 · 11 answers · asked by chekku jane 1 in Science & Mathematics ➔ Mathematics
Let oranges be denoted by x, bananas by y, and apples by z.
so we get 2x+3y+4z=15-------(i)
3x+2y+1z=10-------(ii)
Solve the equations simultaniously by multiplying equation (i) with 2 and equation (ii) with 3 to make values of y same.
we get 4x+6y+8z=30------(iii)
9x+6y+3z=30------(iv)
Subtract (iv) from (iii)
We get -5x+5z=0
5z=5x
z=x or x=z
From the relation x=z we get
2x+3y+4x=15
6x+3y=15-------(i)
3x+2y+x=10
4x+2y=a0-------(ii)
Multiply equation 1 with 2 and equation 2 with 3.
We get.
12x+6y=30-----(iii)
9x+6y=30-------(iv)
Subtract (iv) from (iii)
3x=0
x=0
which means z=0
Substitute the value of x and y in equation 2x+3y+4z=15
We get
3y=15
y=5
so 3x+3y+3z= 3*0+3*5+3*0=15$
So the cost of 3 oranges, 3 apples and 3 bananas is 15$.
2007-04-19 01:14:17 · answer #1 · answered by suraj253721 1 · 0⤊ 0⤋
Two oranges, three bananas and four apples plus Three Oranges, Two Bananas and one apple cost 15$ plus 10$.
Five oranges, five bananas and five apples cost 25$.
One orange, one banana and one apple cost 25$/5=5$
Three oranges, three bananas and three apples cost 3*5$=15$
You pay 15$.
2007-04-18 22:30:32 · answer #2 · answered by Anonymous · 1⤊ 0⤋
Answer : 15
Let r=1 orange price
2r+3b+4a=15
3r+2b+1a=10
add each term
5r+5b+5a=15+10
divide by 5
r+b+a=5
3r+3b+3a=?
3(r+b+a)=3*5=15 $
2007-04-18 22:38:03 · answer #3 · answered by iyiogrenci 6 · 0⤊ 0⤋
Let O represent orange, B represent banana, and A represent aplle.
2O 3B 4A = $15
3O 2B A = $10
5O 5B 5A = $15+ 10
= $25
thus,
O B A = $5
3O 3B 3A =$15
2007-04-18 22:35:06 · answer #4 · answered by shawn michaels pwns cena 4 · 0⤊ 0⤋
You would pay 15$.
Let R stand for Orange, B for Banana, A for Apple.
2R+3B+4A = 15 --- (i)
3R+2B+1A = 10 --- (ii)
Adding (i) & (ii),
5R+5B+5A = 25 => R+B+A = 5 => 3R+3B+3A = 15.
2007-04-18 22:34:12 · answer #5 · answered by Me & Myself 2 · 1⤊ 0⤋
(15+10)/5*3=015
2007-04-18 22:48:37 · answer #6 · answered by Siegfried L 1 · 0⤊ 0⤋
i think $15
2007-04-19 00:14:04 · answer #7 · answered by Professsor Daniel 2 · 0⤊ 0⤋
really u pay too much for fruit
2007-04-18 22:39:16 · answer #8 · answered by Anonymous · 0⤊ 0⤋
gosh, I miss math class ..... will you use Yahoo QnA for your exam too?
^-^
2007-04-18 22:25:36 · answer #9 · answered by Anonymous · 0⤊ 1⤋
i think so 12.5 $
2007-04-18 22:29:32 · answer #10 · answered by pokemon maniac 6 · 1⤊ 1⤋