Question

The ratio of the number of Victor’s tools to the number of Ilya 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 Ilyas tools will be 3:4?

Answer 1

Answer: Victor should give 28 tools to Ilya.

Step-by-step explanation:

Since we have given that

Ratio of the number of Victor's tools to the number of IIya's tools = 5:2

Let the number of Victor's tools be 5x

Let the number of Ilya's tools be 2x

According to question, Victo has 42 more tools than Ilya.

So, our equation becomes,

$5x-2x=42\\\\3x=42\\\\x=\dfrac{42}{3}=14$

So, number of tools Victor has 5x=5×14=70

Number of tools Ilya has 2x = 2× 14 =28

Let the number of tools that Victor should give to Ilya be 'y' so that the ratio of the number of victor's tools to the number of Ilya's tools is 3:4.

According to question, it becomes,

$\dfrac{70-y}{28+y}=\dfrac{3}{4}\\\\4(70-y)=3(28+y)\\\\280-4y=84+3y\\\\280-84=3y+4y\\\\196=7y\\\\y=28$

Hence, Victor should give 28 tools to Ilya.

Answer 2

Answer:

28

Step-by-step explanation: