The ratio of the number of math books to the number of comic books on a shelf is 7:3. There are 21 comic books on the shelf. Find the number of math books on the shelf.

Respuesta :

Answer:

There are 49 math books on the shelf.

Step-by-step explanation:

math books : comic books

       [tex]7[/tex]           :         [tex]3[/tex]

       [tex]x[/tex]           :        [tex]21[/tex]

[tex]21[/tex]÷[tex]3=7[/tex]

[tex]7*7=49[/tex]

[tex]x=49[/tex]

Answer:

[tex]49[/tex]

Step-by-step explanation:

Let the number of math books on the shelf be [tex]x[/tex].

[tex]7:3\\x:21[/tex]

Cross multiply the ratio and solve for [tex]x[/tex].

[tex]3x=7 \times 21\\3x=147\\x=49[/tex]

There are 49 math books on the shelf.