SOLUTION: Jane bought “p” postcards at $2 each and (p+1) other postcards at $5 each. If she spent $54 altogether write an equation that can be used to find “p”

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Question 1108367: Jane bought “p” postcards at $2 each and (p+1) other postcards at $5 each. If she spent $54 altogether write an equation that can be used to find “p”
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
2 * p + 5 * (p + 1) = 54

simplify to get 2p + 5p + 5 = 54

combine like terms to get 7p + 5 = 54

subtract 5 from both sides to get 7p = 49

solve for p to get p = 49/7 = 7

when p = 7, 2 * p + 5 * (p + 1) = 54 becomes:

2 * 7 + 5 * 8 = 54 which becomes:

14 + 40 = 54 which becomes:

54 = 54, confirming the solution is correct.