Question

5 Реши задачу. , Магазин продал карандаши и ручки по одинаковой цене. Закарандаши магазин получил 1 680 тенге, а за ручки - 910 тенге Сколько карандашей и ручек было продано по отдельности, если ручек продали на 11 штук меньше, чем карандашей?муняню ​

Answer 1

1 680 - 910 = 770 тенге - стоят 11 ручек

2) 770 : 11 = 70 тенге - стоит 1 ручка или 1 карандаш (т.к. цена одинаковая)

3) 1 680 : 70 = 24 карандаша

4) 910 : 70 = 13 ручек

Ответ: было продано 24 карандаша и 13 ручек.

Answer 2

To solve this problem, let's assign variables to the unknown quantities. Let's say the price of each pencil and pen is 'x' tenge.

We are given that the store received 1,680 tenge for the pencils and 910 tenge for the pens. We can set up the following equations based on this information:

1. The total amount received for the pencils: x * (number of pencils) = 1,680 2. The total amount received for the pens: x * (number of pens) = 910

We are also given that the number of pens sold is 11 less than the number of pencils sold. So, we can write another equation:

3. (number of pencils) - (number of pens) = 11

Now, let's solve these equations to find the values of the unknowns.

Solving the equations:

From equation 1, we can express the number of pencils in terms of 'x':

(number of pencils) = 1,680 / x

From equation 2, we can express the number of pens in terms of 'x':

(number of pens) = 910 / x

Substituting these expressions into equation 3, we get:

1,680 / x - 910 / x = 11

To simplify the equation, we can find a common denominator:

(1,680 - 910) / x = 11

770 / x = 11

Now, we can solve for 'x' by cross-multiplying:

770 = 11x

x = 770 / 11

x ≈ 70

So, the price of each pencil and pen is approximately 70 tenge.

Finding the number of pencils and pens:

Now that we know the price of each pencil and pen, we can substitute this value back into equations 1 and 2 to find the number of pencils and pens sold.

From equation 1:

(number of pencils) = 1,680 / 70 = 24

From equation 2:

(number of pens) = 910 / 70 ≈ 13

Therefore, the store sold 24 pencils and 13 pens separately.

I hope this helps! Let me know if you have any further questions.