On field day, Danny captured 6 times as many flags as Jon during a game of capture the flag. Together, they captured 14 flags. How many flags did each person capture? Complete the bar model. Write an equation & solve.

Respuesta :

Answer:

The number of flags captured by Danny was 12

The number of flags captured by Jon was 2

Step-by-step explanation:

Let

x-----> number of flags captured by Danny

y---> number of flags captured by Jon

we know that

[tex]x+y=14[/tex] ------> equation A

[tex]x=6y[/tex] -----> equation B

substitute equation B in equation A and solve for y

[tex]6y+y=14[/tex]

[tex]7y=14[/tex]

[tex]y=2\ flags[/tex]

Find the value of x

[tex]x=6(2)=12\ flags[/tex]

therefore

The number of flags captured by Danny was 12

The number of flags captured by Jon was 2