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# Two shops sell the same model of camera, one shop £16 more than other. But then the first one introduced a spe?

Two shops sell the same model of camera, one shop £16 more than other. But then the first one introduced a special offer giving 25% off, making the camera £2 cheaper than from the second shop. What is the price of the camera from each shop, taking the special offer into account?.

### 1 Answer

- J. J..Lv 78 years agoFavorite Answer
Please forgive me for not using the pound sign - although I am British, my keyboard is Thai and does not have a pound sign on it - so I shall use the $ sign instead.

Let the original price of the first shop be $A, and the original price of the second shop be $B

Therefore $A = $B + 16

After the offer

75%A = $B - $2

Now you simply solve the above two simultaneous equations. Using the substitution method, Substitute (B + 16) for A in the bottom equation

75%(B + 16) = B - 2

75%B + 75%*16 = B - 2

75%B + 12 = B - 2

Subtract 75%B and add 2 to both sides of the equation

14 = 25%B

B = 14 * 100/25

B = $56

As A was originally $16 more than B, A's original price was $56 + $16 = $72

25% of 72 = $18 therefore with discount the new price is $72 - $18 = $54 which is $2 less than shop B. Therefore the maths is correct

Original Price shop A = 72 pounds and shop B = 56 pounds

but after discount

FINAL PRICE shop A = 54 pounds and shop B = 56 pounds