Question

у шкільній їдальні під час перерви продали 125 склянок томатного і яблучного соку. Яблучного соку продали на 17 склянок більше, ніж томатного. Скільки склянок томатного і яблучного соку окремо продали під час перерви у шкільній їдальні? (потрібно зробити розв'язок 2 способами) ​

Answer 1

Ответ:

1-й способ.

Допустим, продали стаканов продали одного кол-во, тогда:

(125-17)/2=108/2=54(шт.) - продали стаканов томатного сока

54+17=71(шт.) - продали яблучнего сока

2-ой способ.

допустим, томатного сока продали х стаканов, тогда яблучнего сока продали х+17. =>

х+(х+17)=125

2х+17=125

2х=108

х=54(шт.) - продам томатного сока.

54+17=71(шт.) - продали яблучнего сока

Пошаговое объяснение:

Answer 2

Problem Analysis

We are given that during a break in the school cafeteria, 125 glasses of tomato and apple juice were sold. The number of apple juice glasses sold was 17 more than the number of tomato juice glasses sold. We need to determine how many glasses of tomato and apple juice were sold separately during the break.

Solution 1: Algebraic Approach

Let's assume the number of tomato juice glasses sold is x. According to the problem, the number of apple juice glasses sold is 17 more than the number of tomato juice glasses sold, so the number of apple juice glasses sold is x + 17.

The total number of glasses sold is given as 125, so we can write the equation:

x + (x + 17) = 125

Simplifying the equation:

2x + 17 = 125

Subtracting 17 from both sides:

2x = 108

Dividing both sides by 2:

x = 54

Therefore, 54 glasses of tomato juice and 54 + 17 = 71 glasses of apple juice were sold during the break.

Solution 2: System of Equations Approach

Let's set up a system of equations to solve the problem.

Let x represent the number of tomato juice glasses sold and y represent the number of apple juice glasses sold.

From the problem, we have two pieces of information: 1. The total number of glasses sold is 125: x + y = 125 2. The number of apple juice glasses sold is 17 more than the number of tomato juice glasses sold: y = x + 17

We can solve this system of equations to find the values of x and y.

Substituting the second equation into the first equation, we have:

x + (x + 17) = 125

Simplifying the equation:

2x + 17 = 125

Subtracting 17 from both sides:

2x = 108

Dividing both sides by 2:

x = 54

Substituting the value of x back into the second equation, we have:

y = 54 + 17 = 71

Therefore, 54 glasses of tomato juice and 71 glasses of apple juice were sold during the break.

Answer

During the break in the school cafeteria, 54 glasses of tomato juice and 71 glasses of apple juice were sold separately.

Note: The two solutions provided above yield the same result.