Question

Ms. Perry spent $2000 to buy some new computer equipment. Of this money, $120 was used to

buy some new keyboards. What percent of the money was spent on keyboards?

Answer 1

Answer: 6%

Step-by-step explanation: Step 1: We make the assumption that 2000 is 100% since it is our output value.

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

Step 3: From step 1, it follows that 100%=2000$.

Step 4: In the same vein, x%=120.

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

100%=2000(1).

x%=120(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

`(100\%)/(x\%)=(2000)/(120)`

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

`(x\%)/(100\%)=(120)/(2000)`

`\Rightarrow x=6\%`

Therefore, 120 is 6% of 2000$.