Question

Как решить задачу конфета "Гулливер" и плитка шоколада стоят 18 рублей, а плитка шоколада и 5 конфет "Гулливер" стоят 50 рублей. Во сколько раз плитка шоколада дороже, чем конфета "Гулливер".

Answer 1

конфета стоит х руб, а шоколад у руб. тогда (система)

х+у=18

5х+у=50

 

х=18-у

5х+у=50

 

5(18-у)+у=50

90-5у+у=50

4у=40

у=10.    х=18-10=8.

конфета стоит 8 руб, а шоколад 10 руб.

шоколад дороже конфеты в 1,25 раза (10/8=1,25)

Answer 2

Problem Analysis

To solve this problem, we need to determine the price of a chocolate bar and a candy "Gulliver" and find the ratio between them. We are given that a chocolate bar and a candy "Gulliver" together cost 50 rubles, while a chocolate bar and 18 candies "Gulliver" together cost 18 rubles. Let's break down the problem step by step.

Step 1: Define the variables

Let's assume the price of a chocolate bar is x rubles and the price of a candy "Gulliver" is y rubles.

Step 2: Set up the equations

From the given information, we can set up two equations: 1. x + y = 50 (equation 1) 2. x + 18y = 18 (equation 2)

Step 3: Solve the equations

To solve the equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From equation 1, we can express x in terms of y: x = 50 - y

Substituting this value of x in equation 2: 50 - y + 18y = 18 50 + 17y = 18 17y = 18 - 50 17y = -32 y = -32/17

Now, substitute the value of y back into equation 1 to find x: x + (-32/17) = 50 x = 50 + 32/17

Simplifying the expression: x = (850 + 32)/17 x = 882/17

Step 4: Calculate the ratio

To find the ratio between the price of the chocolate bar and the candy "Gulliver," we divide the price of the chocolate bar by the price of the candy "Gulliver": ratio = x / y

Substituting the values of x and y: ratio = (882/17) / (-32/17) ratio = 882 / -32

Solution

The chocolate bar is 882/17 rubles and the candy "Gulliver" is -32/17 rubles. The ratio between the price of the chocolate bar and the candy "Gulliver" is -882/32.

Please note that the negative sign in the price of the candy "Gulliver" indicates that the price is negative, which doesn't make sense in this context. It is possible that there is an error in the given information or in the calculations.