Question

the total cost of 5 tables and 2 chairs is rupees 990 if table cost rupees 30 more than a chair find the price of each

Answer 1

5T+2C=990.....eq(1),

T-C=30,

then
2T-2C=60........eq(2),


7T=(990+60),

7T=1050,

T=150,

then
C=150-30=120

Answer 2

HEY MISS...!!!

HERE'S THE ANSWER..

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♠️ We'll be forming equations step by step and them we'll solve .

♠️ Let the cost of one table be ( x ) and the cost of one chair be ( y ).

▶️ The total cost of 5 tables and 2 chairs is rupees 990 , i.e

=> 5 x + 2 y = ₹ 990 _________( 1 )

▶️If table cost rupees 30 more than a chair , i.e

=> x = y + 30 ___________( 2 )

✔️ Now putting value of x from ( 2 ) in eqn ( 1 )

=> 5 x + 2 y = 990

=> 5 ( y + 30 ) + 2 y = 990

=> 5 y + 150 + 2 y= 990

=> 7 y = 990 - 150

=> 7 y = 840

=> [ y = ₹ 120 ] ✔️✔️

⏺️ Now putting value of y in eqn ( 2 )

=> x = y + 30

=> x = 120 + 30

=> [ x = ₹ 150 ]✔️✔️

♠️ So, the cost of a table is ₹ 150 and chair is ₹ 120

HOPE HELPED..

JAI HIND..

:-)