Question

ОЧЕНЬ СРОЧНО!!!! В семье Сидоровых работают мама и папа. Если зарплата мамы увеличится на 30%, а зарплата папы не изменится, то весь семейный доход увеличится на 10%. На сколько увеличится семейный доход, если зарплату мамы не менять, а зарплату папы увеличить на 30%?

Answer 1

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Answer 2

Calculation of Family Income Increase

To calculate the increase in family income, we need to consider the given information: if the mother's salary increases by 30% and the father's salary remains unchanged, the total family income increases by 10%.

Let's assume the current family income is represented by the variable "I".

According to the given information, if the mother's salary increases by 30%, her new salary will be 1.3 times her current salary. Therefore, the mother's new salary can be represented as 1.3M, where "M" represents her current salary.

Since the father's salary remains unchanged, his new salary will be the same as his current salary, represented as "P".

The total family income after the increase can be calculated by adding the mother's new salary and the father's new salary:

Total Family Income = 1.3M + P

According to the given information, the total family income after the increase is 10% higher than the current family income. Mathematically, this can be represented as:

Total Family Income + 10% of Total Family Income = I + 0.1I

Simplifying the equation, we have:

1.3M + P + 0.1(1.3M + P) = I + 0.1I

Now, let's solve this equation to find the increase in family income.

Solving the Equation

Expanding the equation, we have:

1.3M + P + 0.13M + 0.1P = I + 0.1I

Combining like terms, we get:

1.43M + 1.1P = 1.1I

Subtracting 1.1P from both sides of the equation, we have:

1.43M = 1.1I - 1.1P

Dividing both sides of the equation by 1.43, we get:

M = (1.1I - 1.1P) / 1.43

Therefore, the increase in family income, when the mother's salary remains unchanged and the father's salary increases by 30%, is given by:

Increase in Family Income = 1.1P - (1.1I - 1.1P) / 1.43

Now, let's calculate the increase in family income using the given information.

Calculation

Since we don't have specific values for the current family income (I), the mother's salary (M), and the father's salary (P), we cannot provide an exact numerical answer. However, we can use the formula derived above to calculate the increase in family income once we have the specific values.

Please provide the specific values for the current family income, the mother's salary, and the father's salary, and I will be happy to calculate the increase in family income for you.