Question

The cost of five chairs and three tables is rs. 3110. Cost of one chair is rs. 210 less than the cost of one tables. What is the cost of two tables and the chairs

Answer 1

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Answer 2

${ \bf{ \underline{ \red{ \underline{ \red{Question}}}} : - }}$

• The cost of five chairs and three table is Rs 3110 . If cost of one chair is Rs 210 less than cost of one table. What is the cost of tables and two chairs?

${ \bf{ \underline{ \red{ \underline{ \red{Given}}}} : - }}$

• a) The cost of five chairs and three table is Rs 3110 .
• b) cost of one chair is Rs 210 less than cost of one table.

${ \bf{ \underline{ \red{ \underline{ \red{Find}}}} : - }}$

• cost of tables and two chairs ?

${ \bf{ \underline{ \red{ \underline{ \red{Solution}}}} : - }}$

{ Accordong to given ( a ) & ( b ) }

• Let, cost of one chair be x &
• cost of one tabel be y

{ from given ( a ) }

• 5x + 3y = 3110 ...... ( 1 )

{ from given ( b ) }

• x = y - 210 ...... ( 2 )

eq. ( 2 ) become

• x - y = - 210 ...... ( 3 )

Multiply eq. ( 2 ) by 5

• 5x - 5y = - 1050 ...... ( 4 )

subtract eq. ( 4 ) from eq. ( 1 )

5x + 3y = 3110

- ( 5x - 5y = -1050 )

_____________________

8y = 4160

y = 4160/8

y = Rs 520

Hence, cost of one tabel is Rs 520

Put value of y in eq. ( 2 )

• x = y - 210
• x = 520 - 210
• x = Rs 310

Hence, cost of one chair is Rs 310

To find cost of two chair :-

• Cost of two chair = Rs {310 × 2}
• Cost of two chair = Rs 620

Hence, cost of table is Rs 520 and cost of two chairs is Rs 620 .

=> Total cost of one tabel and two chair

= cost of one tabel + cost of two tabel

=> Total cost of one tabel and two chair

= Rs 520 + Rs 620

=> Total cost of one tabel and two chair

= Rs 1140

Hence, cost of table is Rs 520 and cost of two chairs is Rs 620 . and Total cost of one tabel and two chair is Rs 1140 .

i hope it helps you.