Mr.Marshal spent his salary of $8400 in the following manner:

Rental.........1/5
Food...........1/10
Bank...........1/4
Miscellaneous.....the remainder.
Calculate the following:
(A)what fraction of the money was spent on MISCELLANEOUS.
(B)How much did he spent on rental.
(C)if marshal spent 4/9 of miscellaneous on a trip,what fraction of his entire salary was spent on the trip?

1 - (1/5 + 1/10 +1/4)

1- (4/20 + 2/20 + 5/20)

1/5 (8400) spent on rental

1/180

To calculate the given values, we'll follow these steps:

(A) Calculate the fraction of the money spent on MISCELLANEOUS.
(B) Calculate the amount spent on Rental.
(C) Calculate the fraction of the entire salary spent on the trip.

Let's start with each step:

(A) To calculate the fraction spent on MISCELLANEOUS:
First, let's add up the fractions spent on Rental, Food, and Bank: 1/5 + 1/10 + 1/4 = 2/10 + 1/10 + 2/10 = 5/10.
Now, to calculate the fraction spent on MISCELLANEOUS, we need to subtract the sum of the above fractions from 1 (since the sum of all fractions adds up to 1): 1 - 5/10 = 10/10 - 5/10 = 5/10.

Therefore, the fraction of the salary spent on MISCELLANEOUS is 5/10.

(B) To calculate the amount spent on Rental:
Given that the salary was $8400 and the fraction spent on Rental was 1/5, we need to multiply the salary by the fraction to find the amount spent on Rental:
$8400 * 1/5 = $8400/5 = $1680.

Therefore, Mr. Marshal spent $1680 on Rental.

(C) To calculate the fraction of the entire salary spent on the trip:
Given that 4/9 of the miscellaneous amount was spent on the trip, we need to multiply the miscellaneous amount by 4/9 and then divide it by the entire salary to find the fraction of the salary spent on the trip:
($8400 * 5/10) * 4/9 / $8400 = 20/10 * 4/9 / 8400/1 = 80/90 / 8400/1 = 80/90 ÷ 8400 = 8/9 ÷ 8400.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 8 and 8400 is 8. After dividing, we get:
1/9 ÷ 1050/1 = 1/9 * 1/1050 = 1/9450.

Therefore, the fraction of Mr. Marshal's entire salary spent on the trip is 1/9450.

To solve these questions, we need to follow the given information and calculate the necessary values step by step.

(A) To find what fraction of the money was spent on miscellaneous, we need to subtract the fractions spent on rental, food, and bank from one whole. Let's calculate it.

Fraction spent on miscellaneous = 1 - (1/5 + 1/10 + 1/4)

First, let's add the fractions on the right side of the equation:

= 1 - (2/10 + 1/10 + 2/10)
= 1 - (5/10)
= 1 - 1/2
= 1/2

Therefore, Mr. Marshal spent 1/2 (or 0.5) of his salary on miscellaneous.

(B) To find how much he spent on rental, we need to calculate 1/5 of his salary.

Amount spent on rental = (1/5) * $8400

Multiply the fraction by his salary:

= (1/5) * $8400
= $8400/5
= $1680

Mr. Marshal spent $1680 on rental.

(C) If Mr. Marshal spent 4/9 of the miscellaneous money on a trip, we need to find the fraction of his entire salary that is spent on the trip.

Fraction spent on the trip = (4/9) * (1/2)

Multiply the two fractions:

= 4/18
= 2/9

Therefore, Mr. Marshal spent 2/9 of his entire salary on the trip.