contestada

Evan and Riley are detectives at the Super Sleuths Detective Agency. Even solved 7/9 of the mysteries last year. Riley solved 14 mysteries. Together they were able to solve them all. How many mysteries did Evan solve?

Respuesta :

boffeemadrid

Answer:

Step-by-step explanation:

Let the number of mysteries solved=x, then according to question, number of mysteries Evan solved=[tex]\frac{7}{9}x[/tex], also together they solve all the mysteries, thus

[tex]14+\frac{7}{9}x=x[/tex]

[tex]14=x-\frac{7}{9}x[/tex]

[tex]14=\frac{9x-7x}{9}[/tex]

[tex]14=\frac{2x}{9}[/tex]

[tex]2x=126[/tex]

[tex]x=63[/tex]

Thus, total number of mysteries solved=63.

Also, total number of mysteries Evan solved=[tex]\frac{7}{9}x= \frac{7}{9}{\times}63=49[/tex].

Otras preguntas