Question

1)16-x-11-x+25=80; 2) 33 (246+4x)=9438. №6 (26) Розв'язати задачу за допомогою рівняння . Задумане число поділили на 11, від частки відняли 27, отриману різницю помножили на 4 і отримали число 24. Яке число задумали ? №7 (36) Розв'язати задачу за допомогою рівняння . Мама купила 2 кг яблук та 6 кг мандаринів . За всю покупку вона заплатила 198грн. Яка ціна яблук та яка ціна мандаринів, якщо 1 кг яблук на 13 гривень коштує дешевше, ніж 1 кг мандаринів ? ​

Answer 1

Ответ:

2)33(246+4х)=9438

33×246+33×4х

8118+132х

х=8118+132

х=8150

Answer 2

1. Let's solve the equation step by step:

16 - x - 11 - x + 25 = 80

Combine like terms:

30 - 2x = 80

Subtract 30 from both sides:

-2x = 50

Divide both sides by -2:

x = -25

So the solution to the equation is x = -25.

2. Let's solve the equation step by step:

33(246 + 4x) = 9438

Distribute the 33 to the terms inside the parentheses:

8118 + 132x = 9438

Subtract 8118 from both sides:

132x = 1320

Divide both sides by 132:

x = 10

So the solution to the equation is x = 10.

6. Let's solve the problem using an equation. Let's represent the unknown number as "n."

The number divided by 11, subtracted by 27, and multiplied by 4 equals 24:

(1/11)n - 27 * 4 = 24

Simplify the equation:

(1/11)n - 108 = 24

Add 108 to both sides:

(1/11)n = 132

Multiply both sides by 11 to eliminate the fraction:

n = 11 * 132

n = 1452

So the number that was originally thought of is 1452.

7. Let's solve the problem using an equation. Let's represent the price of apples as "a" and the price of tangerines as "t."

The total cost of 2 kg of apples and 6 kg of tangerines is 198 gryvnas:

2a + 6t = 198

We are given that the price of 1 kg of apples is 13 gryvnas cheaper than 1 kg of tangerines:

a = t - 13

Substitute the value of "a" in the first equation:

2(t - 13) + 6t = 198

Distribute the 2 to the terms inside the parentheses:

2t - 26 + 6t = 198

Combine like terms:

8t - 26 = 198

Add 26 to both sides:

8t = 224

Divide both sides by 8:

t = 28

Substitute the value of "t" in the equation for "a":

a = 28 - 13

a = 15

So the price of apples is 15 gryvnas per kg, and the price of tangerines is 28 gryvnas per kg.