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

Respuesta :

Answer:

The location offering the better price is The Framers. It is cheaper by $1.35

Step-by-step explanation:

I've Been Framed:

50% of $115 = $57.5

10% of $57.5 = $5.75

$57.5 - $5.75 = $51.75

Total: $51.75

The Framers:

30% of $120 = $36

$120 - $36 = $84

40% of $84 = $33.6

$84 - $33.6 = $50.4

Difference: $1.35

The location that is offering the better price is the Framers.

Custom frame at the Framers is cheaper by $1.35.

In order to determine which business offers the lower price, the prices after the discount have to determined.

Discounted price for I’ve Been Framed

After the first discount, the price of the frame would be 50%(100 - 50%) of the original price.

50% x $115

0.5 x $115 = $57.50

Final discount = (100 - 10%) = 90%

90% x $57.50

0.9 x $57.50 = $51.75

Discounted price for The Framers

After the first discount, the price of the frame would be 70%(100 - 3 0%) of the original price.

70% x $120

0.70 x $120 = $84

Final discount = 100 - 40 = 60%

60% x $84

0.6 x $84 = $50.40

The location that is offering the better price is the framers.

Difference in price = $51.75 = $50.40 = $1.35

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