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2 years ago

Ishaan is 3 times as old as Christopher and is also 1 4 years older than Christopher. How old is Christopher?

Mathematics

2 answers:

Radda [10]2 years ago

8 0

1) The number must be greater than at least 14. This is because the limit is 14 years older.

let Ishaan = y, Christopher = x. Set the system of equation

y = 3x

y = x + 14

Set the two equations equal to each other

3x = x + 14

Simplify. Note the equal sign, what you do to one side, you do to the other. Isolate the variable

3x (-x) = x (-x) + 14

3x - x = 14

2x = 14

(2x)/2 = (14)/2

x = 14/2

x = 7

Christopher is 7 years old, Ishaan is 21 years old.

Check:

7 x 3 = 21 (True)

7 + 14 = 21 (True)

aleksandr82 [10.1K]2 years ago

4 0

If Ishaan is 3 times as old, their difference in ages is 2 times Christopher's age. Thus, Christopher's age is 14/2 = 7.

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Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she wo

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She will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

Step-by-step explanation:

Given:

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

Now, to find money she will earn in one week after the changes.

Her wage was = $10.50.

She worked per week = 40 hours.

So, her salary before changes:

$10.50\times 40\\\\=\$420.$

Thus, the salary per week before changes is $420.

Now, to get her salary after 14% hourly raise:

$10.50+14\%\ of\ 10.50\\\\=10.50+\frac{14}{100} \times 10.50\\\\=10.50+1.47\\\\=11.97$

Salary after hourly raise = $11.97 per hour.

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$40-7.5\%\ of\ 40\\\\=40-\frac{7.5}{100} \times 40\\\\=40-3\\\\=37.$

Number of hours per week after hours of worked decreased = 37 hours.

Now, to get the salary after changes:

Salary after hourly raise × number of hours per week after hours of worked decreased

$=11.97\times 37$

$=\$442.89.$

Salary after changes in one week = $442.89.

As, the previous salary was $420 in one week. 

And after changes this salary is $442.89 in one week which is more than previous. 

Therefore, she will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

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