0-6
5) Pranav ran 20.3 kilometers more than
Brenda last week. Pranav ran 38.6
kilometers. How many kilometers did
Brenda run?
Solve each equation.

Respuesta :

Given :-

  • Pranav ran 20.3 km more than Branda

  • Pravin ran 38.6 km

[tex] \\ \\ [/tex]

To find :

  • No. of kilometers did Brenda run.

[tex] \\ \\ [/tex]

Let :

  • No. of kilometers ran by Brenda be x.

[tex] \\ \\ [/tex]

Solution:

[tex] \\ \\ [/tex]

Equation formed:-

[tex] \\ \\ [/tex]

Total distance covered by Pravan = More distance covered by Pravan + distance covered by Brenda.

Therefore:-

[tex] \\ \\ [/tex]

[tex] \leadsto \sf38.6 = 20.3 + x[/tex]

Write the equation

[tex] \\ \\ [/tex]

[tex] \leadsto \sf38.6 - 20.3 =x[/tex]

When we transfer 20.3 to left side the positive sign (+) will change into negative sign (–)

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = 38.6 - 20.3[/tex]

Arrange the equation because x is always represented at left side.

[tex] \\ \\ [/tex]

[tex] \leadsto \boxed {\pmb{\sf x = 18.3}}\star[/tex]

After subtracting 38.6 with 20.3 we will get result as 18.3 .

[tex] \\ \\ [/tex]

[tex] \therefore \red{ \underline{ \pmb{\frak{Distance ~ covered ~by ~Brenda~ is ~equal ~to~18.3~kilometers}}}}[/tex]