Question

the total cost of 3 tables and 5 chairs is rupees 6330 if the table cost rupees 500 more than the chair find the cost of 3 tables and the cost of 5 chair
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Answer 1

Answer:

3 T + 5 C = 6330

if T = C + 500

3 ( C + 500) + 5 C = 6330

3 C + 5 C = 6330 - 1500

8 C = 4830

C = 603.75

T== C + 500

T = 603.75 + 500

T = 1103.75

Total cost = 3 T + 5 C

= 3 * 1103.75 + 5 * 603.75

= 3311.25 + 3018.75

= Rs. 6330 ans

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Answer 2

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${ \underline { \huge{\sf{Appropriate \: Question}}}}$

The total cost of 3 tables and 5 chairs is rupee 6300.If the table costs rupee 500 more than the chair,find the total cost of 3 tables and the cost of 5 chairs.

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${ \underline { \huge{\sf{Required \: Answer}}}}$

The cost of 3 tables is 3 × Rupee 1100 = Rupee 3300 and the cost of chairs is 5 × rupee 60 = rupee 3000.

${ \underline { \huge{\sf{Step \:by \: Step \: Explanation}}}}$

${\underline{ \large{ \sf{Given}}}}$

Total cost of 3 tables and 5 chairs is rupee 6300.The cost of table is rupee 500 more than that cost of the chair.

${ \underline{ \large{ \sf{To \: Find}}}}$

The cost of 3 tables and the cost of 5 chairs.

${ \underline{ \large{ \sf{Solution}}}}$

Let the cost of one chair be c.

•°•The cost of one table would be c + 500.

Since the total cost 3 tables and 5 chairs is rupee 6300.

⠀⠀⠀⠀⠀⠀⠀⠀⠀3(c + 500) + 5c = 6300

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$\sf{3c + 1500 + 50 = 6300} \\ \sf{8c + 1500 = 6300} \\ \sf{8c + 1500 = 6300 - 1500} \\ \sf{8c = 480} \\ \sf{{ { \cancel \frac{8c}{8}}}} = \frac{4800}{8} \\ \sf{c = 600}$

•°•The cost of a chair is rupee 600 and the cost of a table is rupee 600 + rupee 500 = rupee 1100

Hence,the cost of 3 tables is 3 × rupee 1100 = rupee 3300 and the cost of 5 chairs is 5 × rupee 600 = 3000.