Shamil paid $22xx for 1 table and 3 chairs. The price of 1 chair was 25\frac{2}{5} of the price of the table. How much did he pay for 1 chair? Give your answer in terms of xx. Ans: $ ___

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Worked solution

23

1. Express the price of the table and chairs in terms of units

Let the price of the table be 55 units.
Then the price of 1 chair is 22 units.

2. Find the total number of units for 1 table and 3 chairs

Total units = 1×5 units+3×2 units=5+6=11 units1 \times 5 \text{ units} + 3 \times 2 \text{ units} = 5 + 6 = 11 \text{ units}

3. Equate total units to the given algebraic expression and find the value of 1 unit

11 units=22x11 \text{ units} = 22x
1 unit=22x11=2x1 \text{ unit} = \frac{22x}{11} = 2x

4. Find the price of 1 chair

Price of 1 chair = 2 units=2×2x=4x2 \text{ units} = 2 \times 2x = 4x

Answer

4x4x

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