
Составьте выражение по условию задачи и упростите его: 1)Игорь имеет три альбома с марками.В первом
альбоме находится a марок,во втором-на 15 марок больше,чем в первом,а в третьем-втрое больше,чем во втором.Сколько всего марок находится в трех альбомах? 2)Петр приобрел 8 билетов лотереи "Надежда" и 6 билетов лотереи "Удача".Билет лотереи "Удача" стоил a р.,а лотереи "Надежда" на 10 % дороже.Найдите стоимость покупки.

Ответы на вопрос




1 альбом а марок
2 альбом а+15 марок
3 альбом 3*(а+15)=3а+45марок
Всего а+а+15+3а+45=5а+60 марок
2
Лотерея "Надежда" 8*1,1а=8,8аруб
Лотарея "Удача" 6*аруб
Стоимость покупки 8,8а+6а=14,8аруб



Problem 1: Number of Stamps in Three Albums
To solve this problem, let's break it down step by step.
1. In the first album, Igor has a stamps. 2. In the second album, Igor has 15 more stamps than in the first album. 3. In the third album, Igor has three times the number of stamps in the second album.
To find the total number of stamps in all three albums, we need to add up the number of stamps in each album.
Let's express the number of stamps in each album in terms of a:
- Number of stamps in the first album: a - Number of stamps in the second album: a + 15 - Number of stamps in the third album: 3(a + 15)
Now, let's simplify the expression:
- Total number of stamps in all three albums: a + (a + 15) + 3(a + 15)
To simplify further, we can distribute the 3 to both terms inside the parentheses:
- Total number of stamps in all three albums: a + a + 15 + 3a + 45
Combining like terms:
- Total number of stamps in all three albums: 5a + 60
Therefore, the total number of stamps in all three albums is 5a + 60.
Problem 2: Cost of Lottery Tickets
To solve this problem, let's break it down step by step.
1. Peter purchased 8 tickets for the "Nadezhda" lottery and 6 tickets for the "Udacha" lottery. 2. The cost of a "Udacha" lottery ticket is a rubles. 3. The cost of a "Nadezhda" lottery ticket is 10% more expensive than a "Udacha" lottery ticket.
To find the total cost of Peter's purchase, we need to calculate the cost of each type of lottery ticket and add them together.
Let's express the cost of each type of lottery ticket in terms of a:
- Cost of a "Udacha" lottery ticket: a rubles - Cost of a "Nadezhda" lottery ticket: a + 0.1a rubles (10% more expensive than a "Udacha" ticket)
Now, let's calculate the total cost of Peter's purchase:
- Total cost of "Udacha" lottery tickets: 6a - Total cost of "Nadezhda" lottery tickets: 8(a + 0.1a)
To simplify further, we can distribute the 8 to both terms inside the parentheses:
- Total cost of "Nadezhda" lottery tickets: 8a + 0.8a
Combining like terms:
- Total cost of "Nadezhda" lottery tickets: 8.8a
Now, let's calculate the total cost of Peter's purchase by adding the costs of both types of lottery tickets:
- Total cost of Peter's purchase: 6a + 8.8a
Combining like terms:
- Total cost of Peter's purchase: 14.8a
Therefore, the total cost of Peter's purchase is 14.8a rubles.
Please note that the values of a and the actual cost of a "Udacha" lottery ticket are not provided in the problem statement, so we cannot determine the exact cost of Peter's purchase without that information.


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