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Find the value of x 7.5% of 80 = x |
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Answer» Answer: 7.5 percent * 80 = (7.5:100)* 80 = (7.5* 80):100 = 600:100 = 6 Now we have: 7.5 percent of 80 = 6 Question: What is 7.5 percent of 80? Percentage solution with steps: Step 1: Our output VALUE is 80. Step 2: We REPRESENT the unknown value with $x$. Step 3: From step 1 above,$80=100\%$. Step 4: Similarly, $x=7.5\%$. Step 5: This results in a pair of simple equations: $80=100\%(1)$. $x=7.5\%(2)$. Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have $\frac{80}{x}=\frac{100\%}{7.5\%}$ Step 7: Again, the reciprocal of both SIDES gives $\frac{x}{80}=\frac{7.5}{100}$ $\Rightarrow x=6$ Therefore, $7.5\%$ of $80$ is $6$ |
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