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The cost of a sleeping bag has been discounted by $22\$22, so that the sale price of the bag is $52\$52. Find the original price of the sleeping bag, pp, by solving the equation p−22=52p-22=52. \newlineThe original price of the sleeping bag was $□\$\square.

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One-step inequalities: word problemsright chevron icon

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Q. The cost of a sleeping bag has been discounted by $22\$22, so that the sale price of the bag is $52\$52. Find the original price of the sleeping bag, pp, by solving the equation p−22=52p-22=52. \newlineThe original price of the sleeping bag was $□\$\square.
  1. Understand the problem: Understand the problem.\newlineWe are given the sale price of a sleeping bag, which is $52\$52 after a discount of $22\$22. We need to find the original price of the sleeping bag, which we will call pp. The equation representing this situation is p−22=52p - 22 = 52.
  2. Solve the equation: Solve the equation for pp.\newlineTo find the original price pp, we need to add 2222 to both sides of the equation to isolate pp.\newlinep−22+22=52+22p - 22 + 22 = 52 + 22
  3. Perform the addition: Perform the addition.\newlineNow, we add 2222 to both sides of the equation.\newlinep=52+22p = 52 + 22\newlinep=74p = 74
  4. Check the solution: Check the solution.\newlineWe can check our solution by substituting pp back into the original equation to see if it makes a true statement.\newline74−22=5274 - 22 = 52\newline52=5252 = 52\newlineThis is a true statement, so our solution is correct.

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