Lila needs a custom frame for a painting that her friend made for her. I’ve Been Framed is offering 50 percent off their regular price of $115 plus an additional 10 percent off the sale price. The Framers is offering 30 percent off their regular price of $120 plus an additional 40 percent off the sale price. Which location is offering the better price and how much cheaper is it?

At I’ve Been Framed, the price after 50% off is $115 × 0.50 = $57.50; taking another 10% off gives $57.50 × 0.90 = $51.75. At The Framers, the price after 30% off is $120 × 0.70 = $84; taking another 40% off gives $84 × 0.60 = $50.40. The Framers is $51.75 − $50.40 = $1.35 cheaper, so the correct choice is “The frame is $1.35 cheaper at The Framers.”

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