Question

Ali buys a glass, a pencil box and a cup and pays rs. 21 to the shopkeeper. Rakesh buys a cup, two pencil boxes and a glass and pays rs. 28 to the shopkeeper. Preeti buys two glasses, a cup and two pencil boxes and pays rs. 35 to the shopkeeper. The cost of 10 cups will be

Answer 1

answer= cost of a glass =7,cost of one pencilbox =7,cost of one cup=7 and the answer is 70

Answer 2

The cost of 10 cups will be 70.

Step-by-step explanation:

Consider the provided information.

Let the price of a glass is x,

Price of a Cup is y.

Price of a Pencil box is z.

Ali buys a glass, a pencil box and a cup and pays rs. 21 to the shopkeeper.

$x + y + z = 21$......(1)

Rakesh buys a cup, two pencil boxes and a glass and pays rs. 28 to the shopkeeper.

$x + y + 2z = 28$......(2)

Preeti buys two glasses, a cup and two pencil boxes and pays rs. 35 to the shopkeeper.

$2x + y + 2z = 35$......(3)

Subtract equation 1 from 2 we get:

$z = 7$

Substitute the value of z in equation 2.

$x + y +14 = 28$

$x + y=14$.......(4)

Substitute the value of z in equation 3.

$2x + y+14=35$

$2x + y=21$......(5)

Multiply equation 4 with 2 and subtract from equation 5.

$y=7$

The cost of one cup is rs 7.

The cost of 10 cups will be 7×10=70

#Learn more

solve using substitution method​

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