Question

A person who have 100 Rupee and he have to buy plates, glass , spoon and this item add to get 100 and those items rupee is one plate=5, one glass =3 and 40spoon =one rupee ,then how much plate want ,how much glass want,how much spoon want

Answer 1

Given:

• Cost of a plate = Rs. 5

• Cost of a glass = Rs. 3

• Cost of 40 spoons = Rs. 1

⇒ Cost of a spoon = Rs. 1/40

Consideration:

• Number of plates = x

• Number of glasses = y

• Number of spoons = z

Now we proceed towards the solution:

For total quantity 100, x + y + z = 100

For total cost Rs. 100, 5x + 3y + z/40 = 100

We cannot solve the two equations with three variables in any direct method.

That is why, we take z = 0, 40, 80 (< 100) to get integral values of x and y.

Here z = 0 cannot be taken as spoons must be bought.

For z = 40:

We have new set of equations,

• x + y = 60
• 5x + 3y = 99

Multiplying the 1st equation by 5, we get

5x + 5y = 300

Subtracting the second equation from it, we get

2y = 201

or, y > 201/2, which is not an integral value.

So z ≠ 40.

For z = 80:

We have new set of equations:

• x + y = 20 ..... (i)
• 5x + 3y = 98 ..... (ii)

(i) × 5 gives

5x + 5y = 100 ..... (iii)

(iii) - (ii) gives

2y = 2

or, y = 1

Then x = 19.

Thus z = 80 can be an appropriate value.

Answer:

• Number of plates = 19
• Number of glasses = 1
• Number of spoons = 80

Confirmation:

So total items = 19 + 1 + 80 = 100

& total cost = Rs. (19 × 5) + (1 × 3) + (80/40)

= Rs. (95 + 3 + 2)

= Rs. 100

Similar problem is here:

• A person who have 100 Rupee and he have to buy plates, glass , spoon and this item add to get 100 and those items rupee is one plate=5, one glass =3 and 40spoon =one rupee ,then how much plate want ,how much glass want,how much spoon want - https://brainly.in/question/16250522

Answer 2

Answer:

19 plates. 95

1 glass. 3

80 spoons. 2

100 100

Step-by-step explanation: