Question

У миссис Смит есть несколько банкнот по 10 долларов и по 20 долларов. Если она потратит все свои 10-долларовые банкноты, то ей не хватит 60 долларов, чтобы купить 4 пирога с малиной. Если она потратит все свои 20-долларовые банкноты, то ей не хватит 60 долларов, чтобы купить 5 пирогов с малиной. Если она потратит и все 10-долларовые, и все 20-долларовые банкноты, то ей не хватит 60 долларов, чтобы купить 6 пирогов с малиной. Сколько стоит один пирог с малиной? Ответ. помогите пожалуйста ​

Answer 1

Ответ:20 долларов

Пошаговое объяснение:

Представим в виде системы уравнений

Х+60=4z

y+60=5z

x+y+60=6z

(Z- цена одного пирога;х-колл-во 10ток ;у- кол-во 20ок)

Решая эту систему получаем z=20

Answer 2

Problem Analysis

Mrs. Smith has both $10 and $20 bills. If she spends all her $10 bills, she won't have enough money to buy 4 raspberry pies. If she spends all her $20 bills, she won't have enough money to buy 5 raspberry pies. And if she spends all her $10 and $20 bills, she won't have enough money to buy 6 raspberry pies. We need to determine the cost of one raspberry pie.

Solution

Let's assume the cost of one raspberry pie is x dollars.

If Mrs. Smith spends all her $10 bills, she won't have enough money to buy 4 raspberry pies. This can be represented as the equation: 4x > 10.

If Mrs. Smith spends all her $20 bills, she won't have enough money to buy 5 raspberry pies. This can be represented as the equation: 5x > 20.

If Mrs. Smith spends all her $10 and $20 bills, she won't have enough money to buy 6 raspberry pies. This can be represented as the equation: 6x > 30.

To find the cost of one raspberry pie, we need to solve these equations.

Solving the Equations

Let's solve the equations one by one:

1. 4x > 10: - Divide both sides of the equation by 4: x > 2.5.

2. 5x > 20: - Divide both sides of the equation by 5: x > 4.

3. 6x > 30: - Divide both sides of the equation by 6: x > 5.

From these equations, we can see that the cost of one raspberry pie must be greater than $2.5, $4, and $5. Therefore, the minimum cost of one raspberry pie is $5.

Answer

The cost of one raspberry pie is $5.

Please let me know if there is anything else I can help you with!