Question:
There were three types of fruit in a box. The ratio of the number of mangoes to the total number of apples and oranges was 2 : 5. The ratio of the number of apples to the number of oranges was 9 : 1. There were 30 more apples than mangoes. After some mangoes were added into the box, 70% of the fruits in the box were mangoes.
(a) How many mangoes were there in the end?
(b) How many mangoes were added in the box?