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rewona [7]
3 years ago
10

You want to buy a new camera. The sale price is $129. The sign says that this is $45 less than the original cost. What is the or

iginal cost of the camera.
Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0
Sale=original-45
129=original-45
add 45 to both sides
174=original

the camera originally cost $174
Gnom [1K]3 years ago
4 0
To find the original price of the camera just add 45 to 129!
45+129=174
The camera originally costed $174.
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Combine the terms by multiplying into a single fraction.

\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14   }

Find the common denominator.

\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14   }

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\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14   }

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\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4}    }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4}   }

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Cancel the multiplied terms that are in the denominator.

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\bf{10x-28=3x+56 }

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\bf{10x-28+28=3x+56+28 }

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\bf{10x=3x+84 }

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\bf{10x-3x=3x+84-3x }

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Divide both sides by the same factor.

\bf{x=\dfrac{84}{7} }

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\bf{x=12 \ \ \ === > \ \ \ Answer}

↓

<h3>Verification</h3>

Let x=12.

  1. \bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14   }
  2. \bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14   }
  3. \bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14   }
  4. \bf{30-7=\dfrac{3}{4}\times12+14   }
  5. \bf{30-7=\dfrac{3\times12}{4}+14   }
  6. \bf{30-7=\dfrac{36}{4}+14   }
  7. \bf{30-7=9+14   }
  8. \bf{23=9+14 }
  9. \bf{23=23}

Checked ✅

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