Question:
John only has cookies and Ben only has tarts at first. John gave half of his cookies to Ben. Ben gave half of his tarts to John. John then ate 14 tarts and Ben ate 16 cookies. After that, the ratio of the number of tarts to the number of cookies John had was 1 : 7 and the ratio of the number of tarts to the number of cookies Ben had was 1 : 4.
(a) How many tarts did Ben have at first?
(b) What is the ratio of the total number of tarts to the total number of cookies they had at first? Give your answer in the simplest form.
Solution:
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