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Question

Write the given information as an equation and find its solution.

(1) Haraba owns some sheep. After selling 34 of them in the market, he still has 176 sheep. How many sheep did Haraba have at first?

(2) Sakshi prepared some jam at home and filled it in bottles. After giving away 7 of the bottles to her friends, she still has 12 for herself. How many bottles had she made in all? If she filled 250g of jam in each bottle, what was the total weight of the jam she made?

(3) Archana bought some kilograms of wheat. She requires 12kg per month and she got enough wheat milled for 3 months. After that, she had 14 kg left. How much wheat had Archana bought altogether?

(1) Haraba owns some sheep. After selling 34 of them in the market, he still has 176 sheep. How many sheep did Haraba have at first?

(2) Sakshi prepared some jam at home and filled it in bottles. After giving away 7 of the bottles to her friends, she still has 12 for herself. How many bottles had she made in all? If she filled 250g of jam in each bottle, what was the total weight of the jam she made?

(3) Archana bought some kilograms of wheat. She requires 12kg per month and she got enough wheat milled for 3 months. After that, she had 14 kg left. How much wheat had Archana bought altogether?

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Solution

(1)

Let the number of sheeps with Haraba at first be x.

According to the given condition,

Number of sheeps with Haraba at first − Number of sheeps sold in the market = Number of sheeps left with Haraba

∴ x − 34 = 176

⇒ x − 34 + 34 = 176 + 34 (Add 34 to both sides)

⇒ x + 0 = 210

⇒ x = 210

Thus, there were 210 sheeps with Haraba at first.

(2)

Let the total number of jam bottles made by Sakshi be x.

According to the given condition,

Total number of jam bottles made by Sakshi − Number of jam bottles given to her friends = Number of jam bottles left with Sakshi

∴ x − 7 = 12

⇒ x − 7 + 7 = 12 + 7 (Add 7 to both sides)

⇒ x + 0 = 19

⇒ x = 19

So, the total number of jam bottles made by Sakshi are 19.

Weight of jam in each bottle = 250 g

∴ Total weight of the jam

= Weight of jam in each bottle × Number of bottles

= 250 g × 19

= 4750 g

= 4.75 kg (1 kg = 1000 g)

Thus, the total weight of the jam made by Sakshi is 4750 g or 4.75 kg.

(3)

Let the weight of wheat bought by Archana altogether be x kg.

According to the given condition,

Weight of wheat bought by Archana altogether − Weight of the wheat used in 3 months = Amount of wheat left with Archana

∴ x kg − 12 kg/month × 3 months = 14 kg

⇒ x − 36 = 14

⇒ x − 36 + 36 = 14 + 36 (Add 36 to both sides)

⇒ x + 0 = 50

⇒ x = 50

Thus, the weight of wheat bought by Archana altogether is 50 kg.

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