Explanation

Let the total number of workers be x. Then,

8000x = (12000 * 7) + 6000(x – 7)

=>x=420002000

$x=\frac{42000}{2000}$ 

Answer = 21

Explanation

Ahmed earns Rs. 45,696 in a year. What is his average monthly income?

= 45,696/12

= 3808

Explanation

Average wait of A, B, and C = 45 kg.

(A+B+C)/3 =  45 kg

A+B+C = 45 *3

so A+B+C = 135 kg  …………….( 1) 

Average weight of A and B= 40 Kg

A+B= 40 x 2 = 80 kg …………………. (2)

The average weight of B and C= 43

B+C= 43  x 2 = 86 kg ……………………(3) 

Let us add 2 & 3  = 80 + 86 kg = 166 kg

But from 1 we know that A+B+C = 135 kg

So, 135+B= 166 kg.

Thus, B = 166 – 135 = 31 kg.

Explanation

Total students = 52

No. boys = 25

No. girls = 27

Total weight of boys = 42 X 25 = 1050

Total weight of 52 students = 52 X 40 = 2080

Total weight of girls = 2080 - 1050 = 1030

Average weight of girls = 1030 / 27 = 38.15 Kgs

sh25-8-2023

Explanation

The average weight of A, B, and C is 45 kg, so the total weight is 45 x 3 = 135 kg.

The average weight of A and B is 40 kg, so their total weight is 40 x 2 = 80 kg.

The average weight of B and C is 43 kg, so their total weight is 43 x 2 = 86 kg.

Now, let's find the weight of B:

Subtract the weight of A from the total weight of A and B: 80 kg - A = B

Subtract the weight of C from the total weight of B and C: 86 kg - C = B

Since the total weight of A, B, and C is 135 kg, we can set up the equation:

A + B + C = 135

Substituting the expressions for B from steps 1 and 2, we get:

(80 kg - B) + B + (86 kg - B) = 135

Simplifying the equation, we get:

166 kg - B = 135

Subtracting 166 kg from both sides:

-31 kg = -B

Dividing both sides by -1:

B = 31 kg

Therefore, the weight of B is 31 kg.

Explanation

Step 1: Let's denote the two numbers as x and y.
We have two equations:

1. x + y = 28

2. x - y = 4

Step 2: Solve the system of equations.
Adding the two equations eliminates y:
(x + y) + (x - y) = 28 + 4
2x = 32
Step 3: Solve for x.
x = 32 / 2
x = 16
Step 4: Solve for y.
Substitute x into one of the original equations:
16 + y = 28
y = 28 - 16
y = 12
Step 5: Identify the correct pair of numbers.
The numbers are 16 and 12.

Explanation

Let the first number be = 6xSecond number = 3xand the third number = 2xAccording to the question 6x + 3x + 2x = 154 × 3or 11x = 154 × 3Required difference = 6x – 2x = 4x = 4 × 42 = 168

Explanation

7*70 = 490 kg - total weight of 7 people

80 - 60 = 20 kg less

(490 -20)/7 ≈ 67.14 kg - new average weight ANSWER

Explanation

Explanation

Statement of the given problem,

A mixture of 17 parts of A, 3 parts of B, and 4 parts of C weigh 72 ounces. How many ounces of substance B are in this mixture?

From above data we get following relations,

A/17 = B/3 = C/4 = k (say) …… (1)

A + B + C = 72 …… (2)

From (1) & (2) we get,

17*k + 3*k + 4*k = 72 or k = 72/24 = 3 …… (3)

From (1) & (3) we get,

B = 3*3 = 9 (ounces) [Ans]