Question

The cost of 3 books and 5 notebooks is 720, but a book costs 50 more than a notebook
Find the price of each.​

Answer 1

Answer:-

• Cost of a book = 121.25.

• Cost of a notebook = 71.25.

Explanation:-

Given:-

• Cost of 3 books and 5 notebooks is 720.

• Cost of a book is 50 more than the cost of a notebook.

To Find:-

• The price of each.

So,

• Let the cost of a notebook be x therefore cost of a book will be (50 + x).

Therefore ATQ:-

↦ Cost of 3 books + 5 notebooks = 720.

↦ 3×Cost of 1 book+5×Cost of 1 notebook = 720.

↦ 3 × (x+50) + 5×(x) = 720.

↦ 3(x + 50) + 5x = 720.

↦ 3x + 150 + 5x = 720.

↦ 8x + 150 = 720.

↦ 8x = 720 - 150.

↦ 8x = 570.

↦ x = 570/8.

↦ x = 71.25.

So cost of 1 notebook is x = 71.25

And Cost of 1 book is:-

• (x + 50) = 71.25 + 50 = 121.25

Therefore cost of a notebook and a book is 71.25 and 121.25 Respectively.

Answer 2

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

✴ The cost of 3 books and 5 notebooks is 720, but a book costs 50 more than a notebook. Find the price of each.

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

✒ The cost of a notebook is Rs.71.25 & the cost of a book is Rs. 121.25.

$\mathtt{\huge{\underline{\orange{Solution:-}}}}$

Given :-

• The cost of 3 books and 5 notebooks is 720.

• A book costs 50 more than a notebook.

To Find :-

The price of each.

Calculation :-

According to the question,

• Let the cost of a notebook be x

• The cost of a book will be (50 + x)

Cost of 3 books & 5 notebooks is 720.

3 books + 5 notebooks = Rs. 720

We supposed, The cost of a notebook be x & the cost of a book will be (50 + x) .

=> 3 × (x+50) + 5×(x) = 720.

=> 3(x + 50) + 5x = 720.

=> 3x + 150 + 5x = 720.

=> 8x + 150 = 720.

=> 8x = 720 - 150.

=> 8x = 570.

=> x = $\cancel{\dfrac{570}{8}}$

=> x = 71.25

• The cost of a notebook be x = 71.25

• The cost of a book will be (50 + x) = 50 + 71.25 = 121.25.

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