Question

7. В магазине было продано одинаковое количество ситца и сатина. За ситец выручили 204 рубля, а за сатин 340 рублей. Какова цена 1 метра каждой ткани, если за 1 метр сатина платили на 8 рублей дороже?(в таблице)

Answer 1

пусь за метр ситца стоил х рублей, тогда за метр сатина платили х+8. 204/х купили ситца, 340/(х+8) купили метров сатина.их купли поровну поэтому 204/х=340/(х+8)   204х+1632=340х    340х-204х=1632    136х=1632  х=12   12+8=20

ответ 12 рублей стоит ситец, а сатин 20 рублей

Answer 2

Calculation of the Price per Meter for Each Fabric

To calculate the price per meter for each fabric, we need to determine the number of meters sold for each fabric and the total revenue generated from the sales.

Given that the same amount of sateen and satin was sold, we can assume that the number of meters sold for each fabric is equal.

Let's denote the price per meter for sateen as x rubles. Since the price for satin is 8 rubles more per meter, the price per meter for satin would be x + 8 rubles.

We know that the revenue from selling sateen was 204 rubles, and the revenue from selling satin was 340 rubles.

To find the number of meters sold for each fabric, we can divide the revenue by the price per meter.

For sateen: Number of meters sold = Revenue from sateen / Price per meter for sateen = 204 rubles / x rubles

For satin: Number of meters sold = Revenue from satin / Price per meter for satin = 340 rubles / (x + 8) rubles

Since the number of meters sold for each fabric is the same, we can equate the two expressions:

204 rubles / x rubles = 340 rubles / (x + 8) rubles

To solve this equation, we can cross-multiply:

204 rubles * (x + 8) rubles = 340 rubles * x rubles

Expanding the equation:

204x + 1632 = 340x

Rearranging the equation:

340x - 204x = 1632

136x = 1632

Dividing both sides by 136:

x = 12

Therefore, the price per meter for sateen is 12 rubles, and the price per meter for satin is 12 + 8 = 20 rubles.

Answer:

The price per meter for sateen is 12 rubles, and the price per meter for satin is 20 rubles.