Emily and Joann decide to trade jewelry collections. After the swap Joann say, “wow! I now have 25% more pieces of jewelry”. Emily says, “ I have 15 fewer pieces of jewelry.” How many pieces of jewelry did Emily have originally?

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step-by-step explanation:

only 10/60 isn't equivalent

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step-by-step explanation:

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

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