Ali bought 2kg of potato and 3kg of onion. The price of the onion is 50 cents less
than potato. He paid $10 to the cashier and get back $1.50. What is the price for 1kg
of onion ?

Respuesta :

Answer:

1kg of onion is $1.5

Step-by-step explanation:

He paid $10 and got $1.50 back, meaning that the total price for the 2kg and 3kg of the potato and onion is:

10 - 1.5 = $8.50

Now, equating the prices of the two (take x as the cost of the potato per kg and take y as the cost of the onion per kg):

x -0.5 = y

x - y = 0.5  ---- Eq 1

Equating the total costs:

2x + 3y = 8.5 ---- Eq 2

Multiplying Eq 1 by 2:

2x - 2y = 1 ---- Eq 1'

Subtracting Eq 2 from Eq 1':

2x - 2x +3y - (-2y) = 8.5 - 1

5y = 7.5

y = 1.5

Substituting this into the first equation:

x - 1.5 = 0.5

x = 2

Hence,

the cost of the Potato is $2, and

the cost of the Onion per kg is $1.5

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