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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

Let's break it down step by step:

1. 4 boys = 5 girls, so 1 boy = 1.25 girls (since 5/4 = 1.25)
2. 2 women = 3 boys, so 1 woman = 1.5 boys (since 3/2 = 1.5)
3. 1 woman = 1.5 boys = 1.5 x 1.25 girls = 1.875 girls (since 1 boy = 1.25 girls)
4. 6 men = 7 women, so 1 man = 1.167 women (since 7/6 = 1.167)
5. Since 1 woman = 1.875 girls, 1 man = 1.167 x 1.875 girls = 2.188 girls
6. If a girl earns Rs. 400 per week, a man earns Rs. 2.188 x 400 = Rs. 875.20 per week
7. Daily earnings of a man = Rs. 875.20 / 7 = Rs. 125.00

So, the correct answer is Rs. 125.00.

Explanation

Explanation

Explanation

Convert 3 meters to cm:
3 meters = 300 cm.

$$text{Ratio} = frac{60}{300} = 1:5$$60/300​=1:5

Explanation

6(A's Capital) = 8(B's Capital) = 10(C's Capital)

We can write this as:

A's Capital = x

B's Capital = x × (6/8) = 0.75x

C's Capital = x × (6/10) = 0.6x

Now, we can write the ratio of their capitals as:

A's Capital : B's Capital : C's Capital = x : 0.75x : 0.6x

Divide each term by x:

A's Capital : B's Capital : C's Capital = 1 : 0.75 : 0.6

Multiply each term by 20 (the least common multiple of 1, 0.75, and 0.6) to eliminate decimals:

A's Capital : B's Capital : C's Capital = 20 : 15 : 12

So, the ratio of their capitals is:

20 : 15 : 12

Explanation

Explanation

For the second question, let the two numbers be 3x and 2x. The sum is given as 50, so:

$$3x + 2x = 50 quad Rightarrow quad 5x = 50 quad Rightarrow quad x = 10$$

Thus, the smaller number is:

$$2x=2\times 10=20$$

Explanation

If it takes 6 people 6 days to do a job, the total amount of work can be considered as 6 people × 6 days = 36 person-days.

For 2 people to do the same amount of work:

Number of days = 36 person-days / 2 people = 18

So, it would take 2 people 18 days to do the job.

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.