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Can independent variables be components of the dependent variable?

I'd like to run a regression analysis but I am not sure if what I am trying to do makes sense.

My dependent variable is the total spending of a customer and my independent variables are the number of products bought that are equal to or higher than 10 USD and the number of products bought that are less than 10 USD.

I am trying to understand whether customers who buy more expensive products spend more money overall or not.

I am not even sure if this is a regression problem tho. So if you have any other suggestions on how I should approach this problem, please let me know!

Thanks,

update: would it make sense to look at the correlation between # of products >= 10 USD and total spending vs # of products < 10 USD and total spending? so the first one's correlation coeff is 0.87 and the second one's correlation coeff is 0.38.