Accepted Answer
The amounts are given as follows, using proportions:i) Amount spent on entertainment: $240.c) Monthly salary: $840.What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates in the context of a problem along with basic arithmetic operations such as multiplication or division to find the desired amounts.The ratio of food : travelling : entertainment = 4 : 2 : 3 means that:4/9 of the investment was in food.2/9 of the investment was in travelling.3/9 of the investment was in entertainment.The amount spent on food $160 more than travelling, the total amount is obtained as follows:(4/9 - 2/9)x = 1602/9x = 1602x = 160 x 9x = 80 x 9x = 720.Then the amount invested in entertainment was of:3/9 x 720 = 1/3 x 720 = $240.He invests 6/7 of his monthly salary, as 1/7 is deposited, hence:6x/7 = 7206x = 720 x 7x = 120 x 7 (simplifying both sides of the equality by 6)x = $840.More can be learned about proportions at https://brainly.com/question/24372153#SPJ1