How do you solve this? The ratio of two integers is 7:11. The larger integer is 187. Find the smaller integer.

1 Answer
May 2, 2017

119

Explanation:

Let's introduce some variable x to illustrate something here, though it's not fully necessary.

If the ratio of the integers is 7:11, we know the ratio is 7 of something to 11 of that same thing. We can rewrite as 7x:11x.

We know the larger integer is 187, so let's set that equal to 11x.

#187=11x#

#x=187/11 = 17#

From here, we can find the smaller integer by the following:

#7x=7(17)=119=#[smaller ingeter]

Alternatively, we could realize that:

#(big)/(small)=11/7 \implies (big)/(11/7)=small \implies (187)/(11/7)=119=small#

Perhaps the bottom explanation is simpler, but for some reason my mind went to the top one first, so I left it there. If the top one is confusing, just ignore it