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mart [117]
3 years ago
15

Danny's Bike Shop sells a certain model of racing bike for $550. The same bike can be bought at a competing shop for 7 percent l

ess. How much does the bike cost at Danny's competitor?
Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0

Answer:

$511.5

Step-by-step explanation:

Given: Selling price of bike at Danny´s shop is $550

           Bike is sold 7% less at competitor´s shop.

Lets find the discounted amount at Danny´s competitor shop.

∴ \frac{7}{100} \times 550 = \$ 38.5

Now, finding the cost of bike at Danny´s competitor.

Cost of bike at Danny´competitor= (\textrm{Price at dannys shop - discount provided by competitor})

Cost of bike at Danny´s competitor= 550-38.5= \$511.5

∴ Cost of bike at Danny´s competitor is $511.5.

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You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?

First let’s define a shirt as X and pants as Y!

In the first scenario, the equation will be 3X + Y =$32

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Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

3X + Y= $32—> subtract 3X on both sides of the equation  

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2X + 96 - 9X = $40 —> simplify the equation  

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24+ Y = $32 —> substract 24 from both sides

y = 8

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