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I need help with this ratio question, as i was absent the day we were taught it.

Paul, Fiona and Pip share some sweets in the ratio 4 to 5 to 1. Paul gets 15 more sweets than Pip. How many sweets does Fiona get?
Original post by mine188
Paul, Fiona and Pip share some sweets in the ratio 4 to 5 to 1. Paul gets 15 more sweets than Pip. How many sweets does Fiona get?


You can interpret the ratio as poor pip only getting 1 sweet for Paul's 4. So let's call Paul's sweets x, Pip's sweets y.

Using this info and the info in the question, can you set up two simultaneous equations?
Original post by mine188
Paul, Fiona and Pip share some sweets in the ratio 4 to 5 to 1. Paul gets 15 more sweets than Pip. How many sweets does Fiona get?


Hey,
U can solve the problem in the following way easily.

step 1: write everything in terms of a variable. so lets assume Pip got X sweets.

Step 2: Rewrite the ratios in terms of variables. So the ratio becomes

4X : 5X : X

Step 3: So, now we can get an equation to find X. We also know that the ratio of Paul got 15 more than pip.
SO,
(X+15) = 4X.
solving this we get X= 20.

So since Fiona got 5X she has got 25 sweets.

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