Question

1/4 of morolake' age nine years ago is the same as 1/5 of her age next year. How old is morolake now?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's assume Morolake's current age is x.

9 years ago, her age was x - 9.

1/4 of Morolake's age 9 years ago is (x - 9)/4.

Next year, her age will be x + 1.

1/5 of Morolake's age next year is (x + 1)/5.

Setting up the equation, we have:

(x - 9)/4 = (x + 1)/5

Cross-multiplying, we get:

5(x - 9) = 4(x + 1)

5x - 45 = 4x + 4

5x - 4x = 4 + 45

x = 49

Therefore, Morolake is currently 49 years old.

Answer 2

A construction is owned by two partners who agreed to share their profit in ratio 4:5. If one partner receive#500000 more than the second, what is their total profit

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let's assume the profit of the first partner is 4x and the profit of the second partner is 5x.

According to the given information, one partner receives #500000 more than the second partner, so we can set up the equation:

5x = 4x + 500000

Subtracting 4x from both sides, we get:

x = 500000

Therefore, the profit of the first partner is 4x = 4 * 500000 = #2000000

And the profit of the second partner is 5x = 5 * 500000 = #2500000

Their total profit is the sum of their individual profits:

#2000000 + #2500000 = #4500000

Thus, their total profit is #4500000.

Answer 4

Find the number n such that when 1/3 of it is added to 8 the results is the same as when 1/2 of it is subtract from 18

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let's assume the number is 'n'.

According to the given information, when 1/3 of 'n' is added to 8, it is the same as when 1/2 of 'n' is subtracted from 18.

Translating this into an equation, we have:

1/3 * n + 8 = 18 - 1/2 * n

To solve this equation, let's first simplify it by getting rid of the fractions.

Multiplying through by 6 (the least common multiple of 3 and 2), we have:

2n + 48 = 108 - 3n

Combining like terms, we get:

5n + 48 = 108

Subtracting 48 from both sides, we get:

5n = 60

Dividing both sides by 5, we get:

n = 12

Therefore, the number 'n' is 12.

Answer 6

Two thirds of sum of a number and 5 is the same as one quarter of the difference between five times the number and 3. Find the number

Answer 7

[AI-generated answer — Bot GPT 3.5]

Let's assume the number is 'x'.

According to the given information, two-thirds of the sum of 'x' and 5 is equal to one-fourth of the difference between five times 'x' and 3.

Translating this into an equation, we have:

(2/3)(x + 5) = (1/4)(5x - 3)

To solve this equation, let's first simplify it by getting rid of the fractions.

Multiplying through by 12 (the least common multiple of 3 and 4), we have:

8(x + 5) = 3(5x - 3)

Expanding and simplifying the equation gives:

8x + 40 = 15x - 9

Subtracting 8x and adding 9 to both sides, we get:

40 + 9 = 15x - 8x

49 = 7x

Dividing both sides by 7, we get:

x = 7

Therefore, the number 'x' is 7.

Answer 8

A bag contain orange. The ratio of the good ones to the bad ones is 5:4. If the number of the bad orange in the bag is 36. How many orange are good

Answer 9

[AI-generated answer — Bot GPT 3.5]

Let's assume the number of good oranges in the bag is 5x, where x is a positive number.

According to the given information, the ratio of good oranges to bad oranges is 5:4.

Thus, the number of bad oranges in the bag is 4x.

Given that there are 36 bad oranges, we can set up the equation:

4x = 36

Dividing both sides by 4, we get:

x = 9

Therefore, the number of good oranges in the bag is:

5x = 5 * 9 = 45

So, there are 45 good oranges in the bag.

Answer 10

A man left the sum of#5720000 to be shared among his son and three daughters. Each daughters share was 3/4 of the son share how much did the son received

Answer 11

[AI-generated answer — Bot GPT 3.5]

Let's assume the son's share is x.

According to the given information, each daughter's share is 3/4 of the son's share. Thus, each daughter's share is (3/4)x.

The total share for the son and three daughters is the sum of their individual shares:

x + 3(3/4)x = 5720000

Expanding and simplifying the equation gives:

x + 9/4x = 5720000

Multiplying through by 4 to eliminate the fraction, we get:

4x + 9x = 22880000

Combining like terms, we have:

13x = 22880000

Dividing both sides by 13, we get:

x = 1760000

Therefore, the son received #1760000.

Answer 12

1/8 of a baker flour ingredients is the same as 40% of 50 kg. How many kg is this

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find how many kilograms make up 1/8 of the baker's flour ingredients, we need to calculate 40% of 50 kg and then divide that value by 8.

40% of 50 kg can be calculated by multiplying 50 by 0.40 (since 40% is equal to 0.40):
40% of 50 kg = 0.40 * 50 kg = 20 kg

Now, to find 1/8 of the baker's flour ingredients, we divide 20 kg by 8:
20 kg / 8 = 2.5 kg

Therefore, 1/8 of the baker's flour ingredients is equal to 2.5 kg.