Question

Из проданных билетов на соревнование 43% были в левый сектор, а остальные в правый сектор. Сколько билетов было проданно в правый сектор, если их было на 154 больше, чем в левый?

Answer 1

Пусть x шт. — число билетов, проданных в левый сектор. Тогда (x+154) шт. — число билетов, проданных в правый сектор.
x+(x+154)=(2x+154) (шт.) — всего продано билетов.
Решим уравнение:
x=0,43(2x+154)
x=0,86x+66,22
0,14x=66,22 |:0,14
x=473 (шт.) — число билетов, проданных в левый сектор.
x+154=473+154=627
Ответ: 627 билетов.

Answer 2

Calculating the Number of Tickets Sold in the Right Sector

To calculate the number of tickets sold in the right sector, we can use the information provided in the question. Let's denote the total number of tickets sold as T. Given that 43% of the tickets were sold in the left sector, the remaining 57% were sold in the right sector.

We are also given that the number of tickets sold in the right sector was 154 more than the number sold in the left sector. We can use this information to set up an equation and solve for the number of tickets sold in the right sector.

Let's denote the number of tickets sold in the right sector as R. We can express the relationship between the number of tickets sold in the left and right sectors as follows:

R = T - 0.43T (Number of tickets sold in the right sector) T - 0.43T = R (Equation 1)

We are also given that the number of tickets sold in the right sector was 154 more than the number sold in the left sector:

R = L + 154 (Equation 2)

By substituting the value of R from Equation 1 into Equation 2, we can solve for T.

Solution

Let's solve for T using the given information.

T - 0.43T = T - 0.57T = 154 (Substituting the value of R from Equation 1 into Equation 2)

0.57T - 0.43T = 154 (Combining like terms)

0.14T = 154 (Subtracting 0.43T from both sides)

T = 154 / 0.14 (Dividing both sides by 0.14)

T ≈ 1100 (Approximate value of T)

So, the total number of tickets sold was approximately 1100.

Now, we can calculate the number of tickets sold in the right sector using the value of T.

R = T - 0.43T (Number of tickets sold in the right sector)

R = 1100 - 0.43 * 1100 (Substituting the value of T)

R = 1100 - 473 (Calculating)

R ≈ 627 (Approximate value of R)

Therefore, approximately 627 tickets were sold in the right sector.

Answer

Based on the given information, approximately 627 tickets were sold in the right sector.