Frank averages one strike for every six frames that he bowls. If he bowled 76 strikes in one season, how many frames did Frank bowl?

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Answer 1 · 2016-09-15T12:45:02

#76xx6=456#

If Frank bowls 1 strike for every 6 frames bowled, and if Frank bowled 76 strikes, then how many frames did he bowl?

Let's start working this out this way:

#"1 strike" = "6 frames"#
#"2 strikes" = "12 frames"#

and so on.

We could add 6 to itself 76 times, or we can use multiplication to do the job:

#76xx6=456#

Answer 2 · 2016-09-19T10:41:59

Final frame count is 456

Using ratio

#("strike")/("frames") -> 1/6 -=76/("final frame count")#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Thus we have:

#1/6xx color(magenta)(1)" "=" "1/6xxcolor(magenta)(76/76)" " =" " 76/("final frame count")#

#color(white)(.)#

#=76/456#

#color(white)(.)#

Final frame count is 456