Question

The ratio of the number of tools Victor has to the number of tools Ilya has is 5:2. Victor has 42 more tools than Ilya. How many tools should Victor give to Ilya so that the ratio of the number of tools Victor has to the number of tools Ilya has will be 3:4?

Answer 1

Answer:

The answer to your question is: 28 tools

Step-by-step explanation:

a)   Victor 5:2 Ilya

                       $\frac{5}{2} = \frac{v + 42}{v}$

                                      5v = 2(v + 42)

                                      5v = 2v + 84

                                      5v - 2v = 84                  

                                      3v = 84

                                      v = 28

Victor has 70 and Ilya has 28

b)

                                $\frac{3}{4} = \frac{70 - v}{28 + v}$

                                              3(28 + v) = 4(70 - v)

                                              84 + 3v = 280 - 4v

                                             3v + 4v = 280 - 84

                                              7v = 196

                                                v = 28

Victor has to give 28 tools to Ilya so the ratio will be 3/4

Victor will have 42 tools and Ilya will have 56 tools

Answer 2

Answer: 28

Step-by-step explanation: In the ratio 5:2 victor has 3 more parts than ilya. this means 3 parts is equal to 42 tools, so 1 part equals 14 tools. To change the ratio to 3:4 victor must give 2 parts to ilya. 2 times 14 is 28.