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Find the cost of 3 notebooks and 1 magaz...

Find the cost of 3 notebooks and 1 magazine in terms of y, if the cost of 1 notebook is Rs 2y and that of 1 magazine is Rs `(y + 3)`.

A

Rs (3y + 3)

B

Rs (6y + 3)

C

Rs (7y + 3)

D

Rs (8y + 3)

Text Solution

AI Generated Solution

The correct Answer is:
To find the cost of 3 notebooks and 1 magazine in terms of \( y \), we will follow these steps: ### Step 1: Determine the cost of one notebook The cost of one notebook is given as \( 2y \) rupees. ### Step 2: Calculate the cost of 3 notebooks To find the cost of 3 notebooks, we multiply the cost of one notebook by 3: \[ \text{Cost of 3 notebooks} = 3 \times (2y) = 6y \text{ rupees} \] ### Step 3: Determine the cost of one magazine The cost of one magazine is given as \( y + 3 \) rupees. ### Step 4: Calculate the total cost of 3 notebooks and 1 magazine Now, we need to add the cost of 3 notebooks and the cost of 1 magazine together: \[ \text{Total cost} = \text{Cost of 3 notebooks} + \text{Cost of 1 magazine} \] Substituting the values we calculated: \[ \text{Total cost} = 6y + (y + 3) \] ### Step 5: Simplify the expression Now, we combine like terms: \[ 6y + y + 3 = (6y + y) + 3 = 7y + 3 \] ### Final Answer Thus, the total cost of 3 notebooks and 1 magazine in terms of \( y \) is: \[ \text{Total cost} = 7y + 3 \text{ rupees} \] ---
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  • Dipesh bought 3 notebooks and 2 pens for Rs. 80. His friend Ramesh said that price of each notebook could be Rs. 25. Then three notebooks would cost Rs.75, the two pens would cost Rs. 5 and each pen could be for Rs. 2.50. Another friend Amar felt that Rs. 2.50 for one pen was too little. It should be at least Rs. 16. Then the price of each notebook would also be Rs.16. Lokesh also bought the same types of notebooks and pens as Dipesh. He paid 110 for 4 notebooks and 3 pens Let the cost of one notebook be x and that of pen be y . Which of the following set describe the given problem ?

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    `2x + 3y = 80 and 3x + 4y = 110`
    B
    `3x + 2y = 80 and 4x + 3y = 110`
    C
    `3x + 2y = 80 and 4x + 3y = 110`
    D
    `3x + 2y = 80 and 3x + 4y = 110`
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