Monicaa Abhijit Solutions for Chapter: Linear Equations in One Variable, Exercise 8: THINKING SKILLS

From the table given alongside, find which equation represents the relation correctly.

There arc some benches in a classroom. If $4$ students sit on each bench, three benches are left vacant; and if $3$ students sit on each bench, $3$ students are left standing. What is the total number of students in the class?

Devesh’s school is $15 \mathrm{km}$ from his home. He covers this distance in $3 \mathrm{hours}$, partly by walking and partly by cycling. If he walks at $3 \mathrm{km}/\mathrm{h}$ and cycles at $9 \mathrm{km}/\mathrm{h}$, how much distance does he cover by cycling?

Complete the magic square using linear equations so that the sum of each row, column and diagonal is equal.

Meenakshi has a locker in a bank. She has a total of $₹2,80,000$ in her locker. The currency notes are in the denomination of $₹50, ₹20$ and$₹10$. These currency notes are in the ratio $3:4:5$. How many notes of each denomination are there in her locker? Is it safe to share your locker’s password with anyone? Why?

For a train journey, $(20x + 50)$ passengers bought tickets costing  $₹500$ each and $(30x - 20)$ passengers bought tickets costing $₹750$ each. If the train has a capacity of  $480$ passengers and was just full, find the number of passengers for each category of ticket and also the total money paid for the ticket. Is it fair to buy tickets illegally?

How much acid should be added to $400 \mathrm{mL}$ of $15\%$ acid solution to increase its strength to $32\%$?