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Cost of 4 tables and 3 chairs is $225 and 3 tables and 4

chairs cost $195. Find the cost of 2 chairs and 1 table.

2 Answers

3 votes

Answer:

65

Explanation:

User Delphian
by
5.5k points
2 votes

The cost of 2 chairs is = $30

The cost of 1 table = $60

Explanation:

Let a table represent x

A chair represents y

4x + 3y = 225.......eq 1

3x + 4y = 195........eq 2

Use elimination method

x - y = 30

x= 30 + y...... Eq 3

Substitute the value of x into equation 1

4(30+ y) + 3y= 225

120 + 4y + 3y= 225

7y + 120= 225

7y= 225-120

7y= 105

y= 15

Substitute the value of y in eq 2

3x + 15 = 195

3x= 195-15

3x= 180

x= 60

Therefore, the cost of 2 chairs is 15 * 2= $30

The cost of 1 table = $60

User Lorenz Lo Sauer
by
4.5k points