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OLEGan [10]
3 years ago
14

After 1 year, the value of a car decreases by 19%. The car is now worth £3078. What was the value of the car originally?​

Mathematics
1 answer:
Paha777 [63]3 years ago
5 0

Answer:

3800

Step-by-step explanation:

Variables:

O - Original cost

N - New cost

c - change factor

Step 1:

Recognize that if something decreases by 19%, it is worth 19% <em>less</em>

This means that the new price, fractionally, is 100% - 19% = 81%

So we can use c as 0.81 (81/100)

Step 2:

Write an equation to represent what is happening

N = O * c

Step 3:

Sub in what we know

3078 = O * 0.81

Step 4:

Rearange and solve

O = 3078 / 0.81 = 3800

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Answer:

\large \boxed{\$9.00}

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