The Student Room Group

changing ratios 😭

someone please help me, i dont understand this:

A jacket costs £a and a pair of gloves costs £b.
One day, the price of the jacket goes up by £1 and the price of the gloves goes down by £8. The ratio of the jacket's price to the gloves' price is then 4:1. The next day, the price of the jacket goes up again by £4, and the price of the gloves drops by a further £2. The ratio of their prices becomes 10:1. How much did the jacket and gloves cost originally?

all i know is that simultaneous equations are needed but using what numbers, i dont know. I got this question from the CGP workbook but the answers come in a different book that needs to be bought separately?!?! srsly what is the point bc a broke student isnt gonna buy that.
thats what i did
sorry im terrible at explaining so i'll just leave it here
hope it helps :smile:

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