Fermat 2023 Part B - Question 11, CEMC UWaterloo

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This problem is tagged with fermat, fermat23, highschool.

(Fermat 2023, Part B, Question 11, CEMC - UWaterloo)

At the start of this month, Mathilde and Salah each had $100$ coins. For Mathilde, this was $25\%$ more coins than she had at the start of last month. For Salah, this was $20\%$ fewer coins than he had at the start of last month. The total number of coins that they had at the start of last month was
$(A)$ $180$
$(B)$ $185$
$(C)$ $190$
$(D)$ $200$
$(E)$ $205$

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