Question

"If the price of 12 copies is Rs 750, what is the cost of 20 copies?

If the price of 1 dozen (12) oranges is Rs 36, what is the price of 3 dozen oranges?

If 120 pens cost Rs 700, how many pens can be bought with Rs 875?

If 1/3 T-shirts cost Rs 360, how many T-shirts can be bought with Rs 960?

The cost of 5 tables is the same as the cost of 7 chairs. If the cost of one table is Rs 2100, find the cost of a chair.

The cost of 3 tables is the same as the cost of 4 chairs. If the cost of one table is Rs 1200, find the cost of a chair.

A car needs 54 litres of petrol for covering 648 km distance. How many kilometers will it go with 10 litres of petrol?

A bus needs 10 litres of diesel for covering 50 km distance. How many kilometers will it go with 150 litres of diesel?

Please provide answers to the questions related to these mathematical scenarios."

Answer 1

To solve these mathematical scenarios, one must divide or multiply to scale the quantities accordingly. By determining unit prices or unit rates, the quantities can be adjusted to find costs of various numbers of items or distances that can be covered with specific amounts of fuel.

Step-by-step explanation:

To determine the cost of 20 copies when 12 copies cost Rs 750, we first find the cost of each copy by dividing Rs 750 by 12. This gives us the cost of one copy, which we then multiply by 20 to get the total cost for 20 copies.

For the price of oranges, if 1 dozen (12 oranges) costs Rs 36, we multiply that cost by 3 to find the cost of 3 dozen oranges, as each dozen costs the same.

To find out how many pens can be bought with Rs 875 when 120 pens cost Rs 700, we first compute the cost per pen by dividing Rs 700 by 120. We then divide Rs 875 by the cost per pen to determine the total number of pens that can be purchased.

If 1/3 of T-shirts cost Rs 360, first we find the cost for 1 T-shirt by multiplying Rs 360 by 3 and then dividing by 1. With Rs 960, we divide the total amount by the cost of one T-shirt to find out how many T-shirts can be bought.

For the 5 tables costing the same as 7 chairs, since one table is Rs 2100, we find the total cost of 5 tables by multiplying Rs 2100 by 5. Then we divide this by 7 to find the cost of one chair.

To find the cost of a chair when 3 tables cost as much as 4 chairs and one table is Rs 1200, we first find the cost of 3 tables by multiplying 1200 by 3. Then, dividing this number by 4 will give us the cost of one chair.

For the car's fuel consumption, if 54 litres of petrol are needed for 648 km, we divide 648 km by 54 litres to find the distance covered per litre. Multiplying this by 10 litres will tell us how many kilometers can be covered with 10 litres of petrol.

Lastly, if a bus requires 10 litres of diesel to cover 50 km, we find out how many kilometers can be covered by 1 litre of diesel and then multiply this by 150 to get the distance covered with 150 litres of diesel.