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Standard X

Mathematics

Concept of Inequality

A garage work...

Question

A garage worker goes to a nearby store to buy nuts and bolts. He has ₹ 40 and he is going to buy nuts for 40 paisa and bolts for ₹ 1.5 each. Write an inequality to describe the possible number of nuts and bolts that he can buy (Take the cost price of each bolt and nut as ₹ x and ₹ y respectively).

1.5 x + 0.4 y < 40

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1.5 x + 0.4 y > 40

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1.5 x + 0.4 y ≤ 40

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None of these

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Solution

The correct option is C
1.5 x + 0.4 y ≤ 40

Given that the price of each bolt is x and price of each nut is ₹ y

He has to buy a maximum number of bolts and nuts with given amount. So, here less than equal to involve in the inequalities.

1.5 x + 0.4 y $\leq$ 40

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Similar questions

A garage worker goes to a nearby store to buy nuts and bolts. He has Rs. 40 and he is going to buy nuts for 40 paisa and bolts for Rs. 1.5 each. Write an inequality to describe the possible number of nuts and bolts that he can buy (Take the cost price of each bolt and nut as Rs.x and Rs.y respectively).

Q. A manufacturer produces nuts and bolts. It takes

1

hour of work on machine A and

3

hours on machine B to produce a package of nuts. It takes

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hours on machine A and

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hour on machine B to produce a package of bolts. He earns a profit of

R s . 17.50

per package on nuts and

R s 7

per package of bolts. How many packages of each should be produced each day so as to maximize his profits if he operate his machines for at the most

12

hours a day?

Q. A manufacturer produces nuts and bolts. It takes

1

hour of work on machine

A

and

3

hours on machine

B

to produce a package of nuts. It takes

3

hours on machine

A

and

1

hour on machine

B

to produce a package of bolts. He earns a profit of

R s . 17.50

per package on nuts and

R s . 7.00

per package on bolts. How many packages of each should be produced each day so as to maximise his profit, if he operates his machines for at the most

12

hours a day?

A manufacturer produces nuts and bolts. It takes 1 h of work on machine A and 3 h on machine B to produce a package of nuts. It takes 3 h on machine A and 1 h on maching B to produce a package of bolts. He earns a profit of Rs. 17.50 per package on nuts and Rs. 7.00 per package on bolts. How many package of each should be produced each day so as to maximize his profit, if he operates his machines for at the most 12 h a day ?

Q. A manufacturer produces nuts ad bolts. It takes 1 hour of work on machine A and 3 hours on machine B to produce a package of nuts. It takes 3 hours on machine A and 1 hour on machine B to produce a package of bolts. He earns a profit, of Rs 17.50 per package on nuts and Rs. 7.00 per package on bolts. How many packages of each should be produced each day so as to maximize his profit, if he operates his machines for at the most 12 hours a day?

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The correct option is C 1.5 x + 0.4 y ≤ 40 Given that the price of each bolt is x and price of each nut is ₹ y He has to buy a maximum number of bolts and nuts with given amount. So, here less than equal to involve in the inequalities. 1.5 x + 0.4 y ≤ 40

The correct option is C
1.5 x + 0.4 y ≤ 40

Given that the price of each bolt is x and price of each nut is ₹ y

He has to buy a maximum number of bolts and nuts with given amount. So, here less than equal to involve in the inequalities.

1.5 x + 0.4 y $\leq$ 40