# i need help on this word problem about ratio

• Dec 19th 2012, 11:58 AM
asilvester635
i need help on this word problem about ratio
how is winning 9 games 6:2 ratio? i know how it reduces to 3:1 but i don't understand the 9 games a 6:2 ratio
AHH I REALLY DON'T GET HIS EXPLANATION
• Dec 19th 2012, 12:08 PM
emakarov
Re: i need help on this word problem about ratio
Which sentence of the explanation do you not understand?
• Dec 19th 2012, 12:30 PM
asilvester635
Re: i need help on this word problem about ratio
pretty much everything lol but i think its the "If they won 9 games which is a 6:2 ratio (which reduces to 3:1, right?) they won 9 and lost 3" part
• Dec 19th 2012, 12:37 PM
emakarov
Re: i need help on this word problem about ratio
Quote:

Originally Posted by asilvester635
"If they won 9 games which is a 6:2 ratio (which reduces to 3:1, right?) they won 9 and lost 3"

The ratio 6 : 2 is the same as 3 : 1. The latter ratio means that for every three wins, there is one loss. How many groups of three wins are in nine wins? By definition of division, this is 9 / 3 = 3 groups of three. Therefore, there are three losses.

Since above the divisor and the quotient are both 3, let me give another example. If there were 12 wins initially and the ratio were still 3 : 1, how many groups of 3 wins are in 12 wins? It's 12 / 3 = 4 groups. For each group (of 3 wins), there is a single loss. Therefore, there are 4 losses. This example is not related to the problem in post #1.