Subjects algebra

Pajama Price

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1. **State the problem:** Mrs. Rodriguez buys 4 pajama sets during a sale where each set is $6 less than the full price. She pays a total of 68. We need to find the full price of one pajama set. 2. **Define variables:** Let the full price of one pajama set be $x$. 3. **Write the equation:** Since each set is $6 less during the sale, the sale price per set is $x - 6$. 4. **Total cost equation:** She buys 4 sets, so total cost is $4(x - 6)$. 5. **Set up the equation with total cost:** $$4(x - 6) = 68$$ 6. **Solve the equation:** $$4x - 24 = 68$$ $$4x = 68 + 24$$ $$4x = 92$$ $$x = \frac{92}{4} = 23$$ 7. **Interpret the result:** The full price of each pajama set is $23$. **Final answer:** Each pajama set costs $23$ at full price.