1. if 60% of 3/5 of a number is 36, then the number is......... Pls show working. 2. the average weight of 16 boys in a class is 50.25kg and that of the remaining 8 boys is 45.15kg. Find the average weight of all the boys in the class.

60% = 3/5, so

(3/5)(3/5)x = 36
x = 36(5/3)(5/3) = 100

for the boys, we have the average as

16*50.25 + 8*45.15
----------------------- = 48.55
16+8

thanks

1. Let's break the problem down step by step:

Given: 60% of 3/5 of a number is 36.

Step 1: Convert the percentage to a decimal. 60% is equal to 0.60.

Step 2: Multiply 0.60 by 3/5 to find the fraction that corresponds to 60% of 3/5. This will give us (0.60) * (3/5) = 0.36.

Step 3: Let's denote the unknown number as "x". So now we have the equation 0.36x = 36.

Step 4: To solve for x, divide both sides of the equation by 0.36: (0.36x) / 0.36 = 36 / 0.36.

Simplifying, x = 100.

Therefore, the number is 100.

2. Let's work through this problem step by step:

Given: The average weight of 16 boys in a class is 50.25kg, and the average weight of the remaining 8 boys is 45.15kg.

Step 1: Multiply the average weight of the first group of boys (16 boys) by the number of boys. 16 * 50.25 = 804.

Step 2: Multiply the average weight of the second group of boys (8 boys) by the number of boys. 8 * 45.15 = 361.2.

Step 3: Add the total weights of both groups. 804 + 361.2 = 1165.2.

Step 4: Add the total number of boys from both groups. 16 + 8 = 24.

Step 5: Divide the total weight by the total number of boys to find the average weight: 1165.2 / 24 = 48.55kg.

Therefore, the average weight of all the boys in the class is 48.55kg.