Arun spends some of the money from his monthly salary on food, travelling and entertainment and the rest of the money he deposits in the bank. (i) The money he spends on food, travelling and entertainment is in the Ratio, food : travelling : entertainment = 4 : 2 : 3. If he spends on food $160 more than travelling calculate the amount he spends on entertainment.
(c) If he deposits 1/7 of his monthly salary , calculate his monthly salary

See Answers (1)

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