A baker bought the same number of apples, peaches and grapes to make some fruit tarts. After 28 grapes , some apples and peaches were used to make some fruit tarts, there were 123 fruits left. There were thrice as many apples as peaches left. The number of grapes left was 24 was fewer than the number of apples left. How many peaches were used to make fruit tarts?

Here is a quick solution:

(when time permits, we will make a video to explain this before and after table)

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Will it be easier if A=3u, P=1u, G=3u-24? Total will be 123.

Then 3u+1u+3u = 123 + 24

Yes, you can easily do that as well. Good Job. It is a matter of preference. For our students, we usually discuss both ways or different approaches of solving questions in class but we observed that students tend to make more careless mistakes with negative symbol (3u-24).

Got it. Just 2 questions I have here. First is that kids might not be able to get the reason why is it 1u+8. 8 came from 24/3, so they need to understand that first. Second is, I’m wondering whether there will be a question whereby it will involve another number other than 24, that is not divisible by 3, that makes it impossible to solve other than using 3u-24.