Question

the ratio of a quarterback's completed passes to attempted passed is 6 to 7 . if he attempted 21 passes, find how many passes he completed

Answer 1

help me

Answer 2

7x = 6*21

x=6*21/7


x=6*3 = 18 completed passes.

Answer 3

completed passes to attempted passed is 6 to 7

you have a ratio of
\[ \frac{6}{7}= \frac{completed}{attempted} \]
he attempted 21 means replace attempted with 21 to get
\[ \frac{6}{7}= \frac{completed}{21} \]

"solve" for completed by multiplying both sides by 21
\[ \frac{6}{7}\cdot 21 = \frac{completed}{\cancel{21}} \cdot \cancel{21}\]
cancel the 21 on the right side.
simplify the left side