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You have to complete at least 10 physics problems and math problems within 2 hours before you playing video games. It will take you 20 minutes to complete a physics problem and 10 minutes to complete a math problem. Write a system of inequalities to express this situation. What is the most possible number of physics problems you can complete and still meet the requirements?

Respuesta :

Answer:2

Step-by-step explanation:

Given

Physics problem requires 20 min

Math problem require 10 min

suppose x question of Physics and y questions of Math are done

so according to the question

[tex]x+y\geq 10\ldots 1[/tex]

Time require for x Physics problem [tex]=20 x [/tex]

Time require for y Math problem [tex]=10 y[/tex]

so,

[tex]20 x+10 y\leq 120\ldots 2[/tex]

On solving (1) and (2)

we get [tex]x=2[/tex] and [tex]y=8[/tex]

Maximum no of Physics question which can be solved is 2

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