Question

29. On a 15,000 acre plot of land, there are 7 acres in which deer live. What percentage of the land does this represent

Answer 1

Answer:  0.04667% (approximate)

Explanation:

Divide the two values given

(7 acres)/(15,000 acres) = 7/15000 = 0.0004667 approximately

Move the decimal point 2 spots to the right to get 0.04667%

Answer 2

Step 1: We make the assumption that 15000 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=15000$100%=15000​.

Step 4: In the same vein, $x\%=7$x%=7​.

Step 5: This gives us a pair of simple equations:

$100\%=15000(1)$100%=15000(1)​.

$x\%=7(2)$x%=7(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{15000}{7}$
100%
x%​=
15000
7​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{7}{15000}$
x%
100%​=
7
15000​​

$\Rightarrow x=0.05\%$⇒x=0.05%​

Therefore, $7$7​ is $0.05\%$0.05%​ of $15000$15000​.