7 table and 3 chairs cost 1110 also 5 table 4 chairs cost 1350 find cost of 1 chair and 1 table
Answers
Answered by
2
Answer:
mark as brilliant answer
Attachments:
Answered by
1
Step-by-step explanation:
Let the table cost X and chair coast is Y .
Then,
(I) 7X + 3y → 1110
(II) 5X + 4y → 1350
multipyling equations (I) by 3 and (II) by 4 we get
28X + 12y = 4440 ... (iii )
15X + 12y = 4050. .... (Iv)
subtracting equations (IV) from equation (iii) , we get
28X -15X + 12 y - 12 y = 4440 - 4050
—» 13X = 390
X = 390 ÷ 13
X = 30
subtracting equation X = 30 in equation (i)
we get ,
7 × 30 + 3y = 1110
—» 210 + 3y = 1110
—». 3y - 1110 - 210
=. 3y = 900
y = 900 ÷ 3
y = 300
Hence , the cost of the 1 table = 30
&
cost of 1 chair = 300
Similar questions