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.
1/4 of morolake' age nine years ago is the same as 1/5 of her age next year. How old is morolake now?
13 answers
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
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.
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.
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
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.
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.
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
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.
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.
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
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.
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.
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
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.
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.
1/8 of a baker flour ingredients is the same as 40% of 50 kg. How many kg is this
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.
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.