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4 kg oranges and 5 kg tomatoes cost 40 $.
10 kg oranges and 10 kg tomatoes cost 90 $.
How many cost a kg of oranges and a kg of tomatoes?

2006-06-07 12:35:54 · 10 answers · asked by Morena w 1 in Education & Reference Homework Help

10 answers

Use X = oranges and Y = tomatoes. The we have 2 equations with 2 unknows:

(1) 4X + 5Y = 40
(2) 10X + 10Y = 90

Multiply 1st equation by 2 and substract from 2nd equation:

10X + 10 Y = 90
-8X - 10Y = -80

or 2X = 10 -> X = 5

Substitute this into 1st equation and get:

20 + 5Y = 40
5Y = 20
Y = 4

So the oranges cost $5/kg and tomatoes $4/kg.

2006-06-07 12:44:38 · answer #1 · answered by Anonymous · 3 0

Where (o) is the cost for 1 kg of oranges and (t) is the cost for 1 kg or tomatoes:

4(o) + 5(t) = 40
10(o) + 10(t)=90

10(o) + (80-8(o))=90
2(o)=90-80
2(o)=10
o=5

4(5) + 5(t) =40
20+5(t)=40
5(t)=40-20
5(t)=20
t=4

total price is $9

2006-06-07 19:43:31 · answer #2 · answered by victorygirl 3 · 0 0

Let $x be cost of a kg of oranges, and $y be cost of a kg of tomatoes.

4x+5y=40
10x+10y=90 ---> x=9-y

sub into first equation
4(9-y)+5y=40
36+y=40
y=4

Therefore x=5

2006-06-07 19:40:49 · answer #3 · answered by Michaelsgdec 5 · 0 0

o = kg of oranges
t = kg of tomatoes
4o + 5t = 40
10o + 10t = 90
o + t = 9
t = 9 - 0
4o + 5(9-0) = 40
4o + 45 - 5o = 40
4o - 5o = -5
-o = -5
o = 5
5 + t = 9
t = 4
kg of tomatoes is $4
kg of oranges is $5

2006-06-07 19:42:44 · answer #4 · answered by The Apple Chick 7 · 0 0

o = orange
T = tomatoes

4o + 5T=40 so 4o = 40 - 5T then o = 10 - 5T/4
plug o into the equation: 10o + 10T = 90

and you will get 100 - 25T/2 +10T = 90
solve for T then solve for o by pluging T back into o=10 - 5T/4

2006-06-07 19:45:41 · answer #5 · answered by Andre 2 · 0 0

8 DOLLARS PER Kg OF TOMATOES AND 1 DOLLAR PER Kg OF ORANGES. YOU SIMPLY DIVIDE THE COST BY THE AMOUNT ANG THEN YOU SUBTRACT THAT ANSWER FROM THE TOTAL OF BOTH THEN DIVIDE THAT ANSWER BY THE AMOUNT OF ORANGES

2006-06-07 19:41:26 · answer #6 · answered by Anonymous · 0 0

orange is 5
tomato is 4

2006-06-07 19:38:28 · answer #7 · answered by danielitshakov 2 · 0 0

5 dollars

2006-06-07 19:39:28 · answer #8 · answered by jacksfullhouse 5 · 0 0

4kg + 5kg = 40
9kg=40
9kg/9 = 40/9
kg = 4.44

10kg + 10kg = 90
20kg = 90
kg=4.5

2006-06-07 19:43:27 · answer #9 · answered by Anonymous · 0 0

^Oranges are $1.95/kg
Tomatoes are $2.15/kg
The rest is tax and shipping.

Shut off the computer and do your homework.

2006-06-07 19:40:24 · answer #10 · answered by Oscar Himpflewitz 7 · 0 0

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