Problema Solution
The ratio of the number of Victor’s tools to the number of Ilya’s tools 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 Victor’s tools to the number of Ilya’s tools is 3:4?
Answer provided by our tutors
The number of Victor's tools can be represented with 5x while the number of Ilya's tools with 2x.
5x = 2x + 42
........
click here to see the equation solved for x
........
x = 14
Victor has 5*14 = 70 tools.
Ilya has 2*14 = 28 tools.
Let 't' represent the number of tools that Victor should give to Ilya to make the ratio 3:4.
(70 - t):(28 + t)=3:4
........
click here to see the equation solved for t
........
t = 28 tools
Victor should give 28 tools to Ilya.