Question

Ира купила 3 ручки и 8 карандашей, уплатив за все 14800рублей. определите цену ручки и цену карандаша, учитывая ,что ручка дороже карандаша на 900 рублей

Answer 1

3×900=2700
14800-2700=12100
3+8=11
12100:11=1100
1100+900=2000
карандаш 1100
ручка 2000

Answer 2

Ира купила 3 ручки и 8 карандашей, заплатив за все 14800 рублей. Известно, что ручка дороже карандаша на 900 рублей. Нам нужно определить цену ручки и цену карандаша.

Let's solve this problem step by step:

1. Let's assume the price of a pencil is x rubles. 2. Since the pen is 900 rubles more expensive than the pencil, the price of the pen would be x + 900 rubles. 3. Now, let's calculate the total cost of the pens and pencils. Ira bought 3 pens and 8 pencils, so the total cost can be calculated as follows: - 3 pens * (x + 900 rubles) = 3x + 2700 rubles - 8 pencils * x rubles = 8x rubles - The total cost is 14800 rubles, so we can set up the equation: 3x + 2700 + 8x = 14800 4. Now, let's solve the equation to find the value of x (the price of a pencil): - Combine like terms: 3x + 8x = 11x - Simplify: 11x + 2700 = 14800 - Subtract 2700 from both sides: 11x = 12100 - Divide both sides by 11: x = 1100 5. Therefore, the price of a pencil is 1100 rubles. 6. Since the pen is 900 rubles more expensive than the pencil, the price of the pen would be 1100 + 900 = 2000 rubles.

So, the price of a pencil is 1100 rubles, and the price of a pen is 2000 rubles.