Question

7. A kids furniture warehouse ships small tables and chairs in certain combinations to consumers in the United States. The weight of 3 tables and 5 chairs is 62.5lbs and the weight of 3 tables and 2 chairs is 52lbs. Create and solve a system of equations to find out how much each table and chair weighs.

Answer 1

The weight of each small tables and chairs in the United States is 15lbs and 3.5lbs respectively.

Simultaneous equation

Let

• Weight of tables = x
• Weight of chairs = y
• Cost of 3 tables and 5 chairs is 62.5lbs
• Cost of 3 tables and 2 chairs is 52lbs

3x + 5y = 62.5

3x + 2y = 52

• Subtract the equation to eliminate x

5y - 2y = 62.5 - 52

3y = 10.5

y = 10.5/3

y = 3.5 lbs

Substitute y = 3.5 into

3x + 2y = 52

3x + 2(3.5) = 52

3x + 7 = 52

3x = 52 - 7

3x = 45

x = 45/3

x = 15 lbs

Therefore, the weight of each small tables and chairs in the United States is 15lbs and 3.5lbs respectively.

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