Question
3 chairs and 2 tables cost Rs. 700 and 5 chairs and 3
tables cost Rs. 1100. What is the cost of 1 chair and 2 tables?Solution
ATQ, Set up equations: 3x+2y=700 (3 chairs and 2 tables cost Rs. 700) 5x+3y=1100 (5 chairs and 3 tables cost Rs. 1100) Solve using elimination: Multiply the first equation by 3: 9x+6y=2100 Multiply the second equation by 2: 10x+6y=2200 Subtract to find x: x=100 Find y: Substitute x=100 into 3x+2y=700 to get y=200. Calculate the desired cost: x+2y=100+2(200)=500 Rs. The cost of 1 chair and 2 tables is Rs. 500.
520 ml of mixture contains milk and water in the ratio of 8:5 respectively. If 120 ml of milk and 160 ml of water is added into it then ratio of milk to...
100 litres of a mixture contains 40% milk and rest water. If βxβ litres of milk is added into the mixture then quantity of water in the final mixtur...
- Alloy βPβ has aluminium and nickel in a 7:9 ratio. Alloy βQβ is made up of nickel and zinc in a 4:6 ratio. If 48 grams of βPβ and 60 grams of οΏ½...
From a container of Beer, a thief has stolen 25 litres of beer and replaced it with same quantity of water. He again repeated the same process. Thus in...
- A milk seller has a 50-litre mixture of milk and water, where water makes up 40% of the total volume. He wants to adjust the mixture so that the amounts of...
A mixture contains βxβ% milk. 30% of this mixture is taken out and is replaced with same quantity of water. This procedure is repeated two more time...
In a 180-liter mixture, there is a ratio of 11:7 between Milk and Glucose. How much additional Glucose should be added to the mixture so that the quanti...
- The ratio of milk to water is 1:2. When 1 litre of milk and 1 litre of water are added, the new ratio becomes 2:3. Find the initial quantity of the mixture...
A company manufactures two types of beverages: Beverage X, which costs 20 per liter, and Beverage Y, which costs 32 per liter. They aim to produce 150 l...
An alloy of copper and tin contains 60% of copper. If 10 kg of more tin is added to the alloy, the copper content gets reduced to 50%. Find the quantity...
Relevant for Exams:
