Help! Maths question

[QuestionableMouse]

Before anyone judges I have Dyscalculia.

Making jam. Recipe is for 900g fruit. I have 165g.

For 900g of fruit, I need 150g water and I feel like I'm breaking my brain trying to figure it out.

If someone can show me how to work it out I'd be most grateful 😊

165*150/900 = 27.5g water.

Do 150/900 which tells you how much water for 1g of fruit
Then multiply that by 165g.
Basically 150*165/900

Thank you! You're both very kind!

Divide 900 by 150 which equals 6 so for every 6G of fruit you need 1g of water

165 divide by 6 is 27.5

27.5g of water needed

Thank you for your help! I've written this down so hopefully I'll remember for next time.

A slightly different way of thinking about it, which of course gives the same answer.

You only have 165/900 of the original recipe.

So you need 165/900 of the original amount of water

'of' in maths corresponds to multiply

So you need to do 150 x 165/900 = 27.5g water
( = 27.5 ml as 1 ml of water weighs 1g)

As you wanted to shown how to work it out, I'll try to explain it in a 'not very mathematical' way...

The recipe calls for 900g of fruit & 150 of water. So each part of water 150/900= .166 reoccurring) This gives you the ratio of water to fruit

You Have 165g of fruit Multiply that by the ratio & you have how much water you need. (165x.166= 27.5 of water).

Sorry, got distracted, you've probably made the jam by now!!

Another way to remember it to think of the saying "it is a fraction of..." that we use when something is smaller than something else e.g. "I got it for a fraction of the price" or "it is only a fraction of the cost".

Write the smaller amount of fruit as a fraction of the larger amount fruit i.e. 150/900
Which means, divide 150 by 900

You then multiply the required amount of water by that fraction.

Thank you.

Made it, though I don't think it's going to set. Bugger 😟