Question

Набор красок на 24 рубля дороже набора фломастеров. За 3 набора красок заплатили столько же сколько за 5 наборов фломастеров. Сколько стоит один набор красок и сколько стоит один набор фломастеров?

Answer 1

Флом- Х
кра- Х+24
3*(Х+24)=5Х
3Х+72=5Х
2Х=72
Х=36(фломатеры)
36+24=60(краки)

Answer 2

Х руб 1 набор фломастеров
х+24 руб 1 набор красок

5х=3(х+24)
5х=3х+72
5х-3х=72
2х=72
х=36 рублей стоит 1 набор фломастеров
36+24 =60 рублей стоит 1 набор красок

Answer 3

Calculation of the Cost of Paint and Markers

To determine the cost of one set of paints and one set of markers, we can use the given information that the set of paints is more expensive than the set of markers, and that the cost of 3 sets of paints is equal to the cost of 5 sets of markers.

Let's assume the cost of one set of paints is P rubles, and the cost of one set of markers is M rubles.

According to the given information: 1. The cost of 3 sets of paints is equal to the cost of 5 sets of markers. 2. The cost of one set of paints is more expensive than the cost of one set of markers.

Based on these two pieces of information, we can set up the following equations:

Equation 1: 3P = 5M (the cost of 3 sets of paints is equal to the cost of 5 sets of markers) Equation 2: P > M (the cost of one set of paints is more expensive than the cost of one set of markers)

To find the values of P and M, we can solve these equations simultaneously.

Solving the Equations

To solve the equations, we can use substitution or elimination. Let's use substitution:

From Equation 1, we can express P in terms of M: P = (5M) / 3

Substituting this value of P into Equation 2, we get: (5M) / 3 > M

To simplify the inequality, we can multiply both sides by 3: 5M > 3M

Now, we can subtract 3M from both sides: 2M > 0

Dividing both sides by 2, we get: M > 0

This means that the cost of one set of markers (M) is greater than zero.

Calculating the Cost of One Set of Paints

Now that we know M > 0, we can calculate the cost of one set of paints (P) using Equation 1: P = (5M) / 3

Since we don't have the exact value of M, we cannot determine the exact value of P. However, we can conclude that the cost of one set of paints is greater than the cost of one set of markers.

To summarize: - The cost of one set of paints is greater than the cost of one set of markers. - The exact values of P and M cannot be determined without additional information.

Please note that the given information does not provide enough details to calculate the exact cost of one set of paints and one set of markers.