Question

Три бригады дорожных строителей установили 122 мачты освещения. Первая придала установила на 47 фонарей больше, чем вторая, а третья на 24 фонарей меньше чем вторая. Сколько матч установила каждая бригада.

Answer 1

Вторая Х, первая Х+47, третья Х-24
Х+Х+47+Х-24=122
3Х=122-47+24
3Х=99
Х=33
вторая 33, первая 33+47,третья 33-24

Answer 2

Calculating the Number of Light Poles Installed by Each Brigade

To calculate the number of light poles installed by each brigade, we can use the given information about the total number of light poles installed and the differences in the number of light poles installed by each brigade.

Let's denote: - The total number of light poles installed as T (122 in this case). - The number of light poles installed by the first brigade as F. - The number of light poles installed by the second brigade as S. - The number of light poles installed by the third brigade as T.

We are given the following information: 1. The first brigade installed 47 more light poles than the second brigade. 2. The third brigade installed 24 fewer light poles than the second brigade.

We can express this information as a system of equations: 1. F = S + 47 2. T = S + 24

We can solve this system of equations to find the values of F, S, and T.

Solving the System of Equations

Substituting the value of S from equation 2 into equation 1: F = (T - 24) + 47

Simplifying: F = T + 23

Now, we know that F + S + T = 122. Substituting the value of F from the previous equation: (T + 23) + S + T = 122

Solving for T: 2T + S = 99

Given that T = S + 24, we can substitute this into the equation: 2(S + 24) + S = 99 3S + 48 = 99 3S = 51 S = 17

Now that we have the value of S, we can find the values of F and T: F = S + 47 = 17 + 47 = 64 T = S + 24 = 17 + 24 = 41

Conclusion

Therefore, each brigade installed the following number of light poles: - The first brigade installed 64 light poles. - The second brigade installed 17 light poles. - The third brigade installed 41 light poles.