Question
Jade had 45 as many buttons as Rachel. The sum of the number of buttons Jade and Rachel had was the same as the number of buttons that Erika had. After trading, Erika gave 30% of her buttons to Jade and received 40% of Rachel's buttons. After that, Rachel continued to trade and increased her number of buttons in the end by 20%, find the ratio of her number of buttons to the sum of Jade's and Erika's buttons in the end.
4 m

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Jade had 45 as many buttons as Rachel. The sum of the number of buttons Jade and Rachel had was the same as the number of buttons that Erika had. After trading, Erika gave 30% of her buttons to Jade and received 40% of Rachel's buttons. After that, Rachel continued to trade and increased her number of buttons in the end by 20%, find the ratio of her number of buttons to the sum of Jade's and Erika's buttons in the end.