5 tables and 6 chairs cost Rs. 2500 and 3 tables and 2 chairs cost Rs. 1300. What is the cost of one table and one chair together?
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let cost of a table is x and a chair is y
so 5x+6y = 2500 -eq 1
and , 3x+2y = 1300 -eq 2
so multiplying 3 to equation 2, we get :
(3x+2x = 1300)3 = 9x+6y = 3900 -eq 3
subtracting eq 1. from eq 3 , we get :
(9x+6y)-5x+6y = 1400. (y got cancelled)
or, 4x = 1400
or, x = 350
substituting value of x in equation 2 ,we get :
3x+2y = 1300
or, 3(350)+2y = 1300
or , 1050 +2y = 1300
or , 2y = 250
or, y = 125
so the cost of table is 350 and chair is 125
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Answered by
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Answer:
TOTAL COST : 520
Step-by-step explanation:
FIRST FIND THE RATIO : 3:2
SECOND ADD THEM : 3+2
= 5
THIRD DIVIDE : 1300 / 5
: TO FIND THE COST OF 1 FURNITURE
= 260
FIVTH MULTIPLY BY 2 : 260*2
= 520
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