Age Relationships and Problem Solving

Swati Deshpande teaches solving equations in one variable, covering various problems like fruit purchases, age calculations, and bead usage. She emphasizes understanding English statements and translating them into mathematical equations. The video concludes with encouragement to practice and enjoy studying.

What is the cost of one guava if 15 fruits were purchased for 72 rupees, with guavas costing 3 rupees each?

• 5 rupees

• 15 rupees

• 3 rupees

• 12 rupees

If the total cost of 15 fruits is 72 rupees, and apples cost 12 rupees each, how many apples were purchased?

• 5

• 4

• 3

• 2

What is the first step in solving the problem where one-fifth of a number is subtracted from its double?

• Assume the number as x

• Double the number

• Add 32

• Subtract one-fifth

After setting up the equation for the second problem, what is the next step?

• Solve for x

• Add 32

• Subtract x

• Multiply by 5

In the problem involving Nanda and Kanta, what was their combined age x years ago?

• 25 years

• 20 years

• 35 years

• 30 years

How do you calculate their combined age y years later?

• Add 25

• Add x and y

• Add 2y

• Add 2x

What fraction of beads did Swati use to make three strings?

• 1/4

• 1/2

• 7/8

• 1/8

How many beads did Swati use in total to make the strings?

• 560

• 640

• 480

• 720

What is the first step in solving the square root equation problem?

• Subtract x

• Add 9

• Square both sides

• Multiply by 3

After removing the square root, what is the next step?

• Subtract 5

• Add 4

• Solve for x

• Multiply by 9