7th grade math. linear equations in one variable. The total cost of 3 tables and 2 chairs is rs 1850. If a table costs 75 more than a chair, find
the price of each.
A man sold an article for 2495
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7th grade math. linear equations in one variable. The total cost of 3 tables and 2 chairs is rs 1850. If a table costs 75 more than a chair, find
the price of each.
A man sold an article for 2495
ANSWER⤵️
Let the cost of 1 table is x . cost of 3 table
is 3x
Let the cost of 1 chair is y .. cost of 2
chairs is 2y
According to the question total cost of 3
tables and 2 chairs is 1850
3x+2y=1850
and x=75+y___(2) (Since in
question it is given that cost of table is 75
more than chair )
Solving equation (1) and (2)
simultaneously
3x+2y=1850
x-y=75 (2)
Multiplying equation (2) by 2
we get 2x-2y=150 _(3)
Adding (1) and (3)
we get 5x=2000
x=400 therefore cost of one table is
Rs 400
substituting the value of x in (2) we get
400-y 75
y=400-75 325
therefore cost 1 chair is Rs 325
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