32.3k views
0 votes
The cost of 4 tables and 3 chairs is ₹6950. If the table costs ₹250 more than the chair, find the cost of a table.

1 Answer

4 votes

Answer:

₹1100

Explanation:

Let t = cost of 1 table.

Let c = cost of 1 chair.

"The cost of 4 tables and 3 chairs is ₹6950."

4t + 3c = 6950

"the table costs ₹250 more than the chair"

t = c + 250

We have a system of 2 simultaneous equations.

4t + 3c = 6950

t = c + 250

Since the second equation is already solved for t, we can use teh substitution method. Substitute c + 250 for t in the first equation.

4t + 3c = 6950

4(c + 250) + 3c = 6950

4c + 1000 + 3c = 6950

7c = 5950

c = 850

t = c + 250 = 850 + 250 = 1100

Answer: ₹1100

User Lawonga
by
8.6k points