Question

Илья и Тимур решили одинаковое количество уравнений по алгебре. Илья потратил на решение 5 часов, а Тимур - 4 часа, т.к. решал на 12 уравнений в час больше. Сколько уравнений решил каждый? 2) На приготовление торта мама потратила на 30 минут больше, чем на приготовление салата. Всего на эти два блюда ушло 1час 40 синут. Сколько времени потребовалось на каждое блюдо? Даю 100 балов ы

Answer 1

Ответ:

Решение задач уравнением.

Answer 2

Problem 1: Ilya and Timur's Equations

To solve this problem, we need to determine how many equations each person solved based on the given information.

According to the problem, Ilya spent 5 hours solving equations, while Timur spent 4 hours. Additionally, Timur solved 12 more equations per hour than Ilya.

Let's assume that Ilya solved x equations. Therefore, Timur solved x + 12 equations per hour.

To find the total number of equations solved by each person, we can multiply the number of equations solved per hour by the number of hours spent.

For Ilya: Equations solved by Ilya = x equations/hour * 5 hours = 5x equations

For Timur: Equations solved by Timur = (x + 12) equations/hour * 4 hours = 4(x + 12) equations

We know that the total number of equations solved by both Ilya and Timur is the same. Therefore, we can set up the following equation:

5x = 4(x + 12)

Let's solve this equation to find the value of x, which represents the number of equations solved by Ilya.

5x = 4x + 48 x = 48

Therefore, Ilya solved 48 equations and Timur solved 48 + 12 = 60 equations.

Problem 2: Cooking Time for Cake and Salad

In this problem, we need to determine the time it took to prepare each dish based on the given information.

According to the problem, the time spent on preparing the cake was 30 minutes more than the time spent on preparing the salad. The total time spent on both dishes was 1 hour and 40 minutes.

Let's assume that the time spent on preparing the salad is x minutes. Therefore, the time spent on preparing the cake is x + 30 minutes.

To find the total time spent on each dish, we can add the time spent on each dish.

For the salad: Time spent on the salad = x minutes

For the cake: Time spent on the cake = (x + 30) minutes

The total time spent on both dishes is given as 1 hour and 40 minutes, which is equal to 1 hour * 60 minutes + 40 minutes = 100 minutes.

Therefore, we can set up the following equation:

x + (x + 30) = 100

Let's solve this equation to find the value of x, which represents the time spent on preparing the salad.

2x + 30 = 100 2x = 70 x = 35

Therefore, the time spent on preparing the salad is 35 minutes and the time spent on preparing the cake is 35 + 30 = 65 minutes.

I hope this helps! Let me know if you have any further questions.