sandy wrote:
If 0 < n < 100 and 72.42 = k(24 + n/100), then k + n =
Here's another approach:
GIVEN:
72.42=k(24+n100)Expand right side:
72.42=24k+kn100Multiply both sides by 100 to get:
7242=2400k+knFactor out the k to get:
7242=k(2400+n)ASIDE: Since n is POSITIVE, we know that k is positive.
Since
(3)(2400)=7200, and since 7200 is pretty close to 7242, let's see how things look if we try factoring a 3 from the left side of the equation.
We get:
3(2414)=k(2400+n)We can rewrite 2414 as follows:
3(2400+14)=k(2400+n)At this point, we can see that
k=3 and
n=14So,
k+n=3+14=17Answer: 17
Cheers,
Brent