Question

пачка бумаги дороже набора карандашей на 7.2грн. Сколько стоит пачка бумаги и сколько - набор карандашей, если за 4 пачки бумаги заплатили столько же, сколько и за 10 наборов карандашей.

Answer 1

Пусть пачка бумаги стоит  х грн. Тогда набор карандашей стоит(х-7,2) грн.
4 пачки бумаги стоят 4х  грн.
10 наборов карандашей стоят 10(х-7,2) грн.

Уравнение:
4х=10(х-7,2)
4х=10х-72
72=10х-4х
6х=72
х=12 грн
О т в е т. 12 грн

Answer 2

X-7.2=y
4x=10y
x=10y/4
10y/4-7.2=y
2.5y-7.2=y
2.5y-y=7.2
1.5y=7.2
y=4.8
x-7.2=y
x-7.2=4.8
x=12

Answer 3

To find the cost of a pack of paper and a set of pencils, we can set up a system of equations based on the given information.

Let's assume the cost of a pack of paper is P and the cost of a set of pencils is C.

From the given information, we have two equations:

1. "A pack of paper is more expensive than a set of pencils by 7.2 UAH": P = C + 7.2

2. "The cost of 4 packs of paper is the same as the cost of 10 sets of pencils": 4P = 10C

We can solve this system of equations to find the values of P and C.

Solving the System of Equations:

From equation 2, we can express P in terms of C: P = (10C) / 4 P = 2.5C

Substituting this value of P into equation 1, we get: 2.5C = C + 7.2

Simplifying the equation: 2.5C - C = 7.2 1.5C = 7.2 C = 7.2 / 1.5 C = 4.8

Now, we can substitute the value of C back into equation 1 to find P: P = 4.8 + 7.2 P = 12

Answer:

Therefore, a pack of paper costs 12 UAH and a set of pencils costs 4.8 UAH.