Explanation

Ratio of oranges to peaches to strawberries = 2:3:4

If there are 8 oranges, we can set up an equation based on the ratio:

Number of oranges = 2x = 8

To find the value of x, divide both sides by 2:

x = 8 ÷ 2

x = 4

Now that we know x, we can find the number of peaches and strawberries:

Number of peaches = 3x = 3(4) = 12

Number of strawberries = 4x = 4(4) = 16

Total number of fruit items = Number of oranges + Number of peaches + Number of strawberries

= 8 + 12 + 16

= 36

So, there are 36 fruit items in the basket.

Explanation

Total amount =1000

Total parts of amount = 2+3 = 5

One part is + 1000/5 = 200

So Rabil amount part = 2 x 200 = 400

Explanation

Given:

The wages of 6 men for 15 days be Rs. 2100

Calculation:

As the wages of 6 men for 15 days be Rs. 2100

The wages of 1 man for 15 days = Rs. 2100/6 = Rs. 350

And, the wages of 1 man for 1 day = Rs.350/15

Now, the wages of 9 men for 12 days = (Rs.350/15) × 9 × 12 = Rs.2520

∴ The wages of 9 men for 12 days is Rs.2520.

Explanation

Given ratio: 35 : 84

Step 1: Find the GCD (Greatest Common Divisor) of 35 and 84  

GCD of 35 and 84 is 7

Step 2: Divide both terms by 7  

35 ÷ 7 = 5  

84 ÷ 7 = 12

Simplest form: 5 : 12

Explanation

She spent 4/9 of her money, which means she spent (4/9)x rupees.

She has 25 rupees left, which means she has (5/9)x rupees left (since 1 - 4/9 = 5/9).

We know that (5/9)x = 25, so we can solve for x:

x = 25 x (9/5)

x = 45

So, the girl had 45 rupees initially.

She spent (4/9) x 45 = 20 rupees.

The correct answer is: 20

Explanation

We can set up the proportion as:

6/m = 9/12

Cross-multiply:

6 × 12 = 9 × m

Simplify:

72 = 9m

Divide both sides by 9:

m = 72/9

m = 8

So, the correct answer is: 8

Explanation

Since the ratio of cats to dogs is 2:3, we can write:

Number of cats / Number of dogs = 2/3

We know there are 18 dogs, so:

Number of cats / 18 = 2/3

Cross-multiply:

Number of cats = (2/3) × 18

Simplify:

Number of cats = 2 × 6

Number of cats = 12

So, there are 12 cats.

Explanation

To find the amount of solution A and B:

Let the amount of solution A be 60 liters.

The ratio of A to B is 3:5.

Therefore, if A is 60 liters, then B is 5/3 × 60 =100 liters.

So, the solutions are 60 liters of A and 100 liters of B.

Explanation

Number of chocolate candies : Number of gummy candies = 3 : 2

We know that the total number of candies is 60, so we can set up the equation:

3x + 2x = 60

where x is a multiplier for both parts of the ratio.

Combine like terms:

5x = 60

Divide by 5:

x = 12

Now, multiply x by the ratio terms to find the number of gummy candies:

Number of gummy candies = 2x = 2(12) = 24

So, there are 24 gummy candies!

Explanation

Given that, P : Q = 8 : 15, Q : R = 3 : 2

P : Q : R = (8 x 3) : (15 x 3) : (15 x 2) = 24 : 45 : 30

∴ P : Q : R = 8 : 15 : 10

Here, consequent of first ratio should be equal to the antecedent of second ratio.