Question

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.

Answer 1

The number of flags captured by Danny was 12

The number of flags captured by Jon was 2

Explanation:

Let

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

y---> number of flags captured by Jon

we know that

`x+y=14` ------> equation A

`x=6y` -----> equation B

substitute equation B in equation A and solve for y

`6y+y=14`

`7y=14`

`y=2\ flags`

Find the value of x

`x=6(2)=12\ flags`

therefore

The number of flags captured by Danny was 12

The number of flags captured by Jon was 2