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# Math

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a television is on sale for $449.95.this is$30 off the original price.what is the percent of the discount?

Guest Feb 16, 2017

#2
+19653
+10

a television is on sale for $449.95.this is$30 off the original price.

what is the percent of the discount?

$$\begin{array}{|rcll|} \hline (449.95+30)\cdot (100\ \%-x) &=& 449.95 \\ 479.95\cdot (100\ \%-x) &=& 449.95 \\ 479.95\cdot (1-x) &=& 449.95 \\ 479.95 -479.95x &=& 449.95 \quad & | \quad \cdot (-1) \\ -479.95 +479.95x &=& -449.95 \quad & | \quad +479.95\\ 479.95x &=& 479.95-449.95 \\ 479.95x &=& 30 \\ x &=& \frac{30}{479.95} \\ x &=& 0.06250651109 \\ x &=& 6.250651109 \ \% \\ \hline \end{array}$$

The percent of the discount is $$\approx$$ 6.25 %

heureka  Feb 16, 2017
edited by heureka  Feb 16, 2017
#1
+12562
0

The ORIGINAL price was  499.95 +30 = 529.95

30 dollars   is what percent of 529.95?

30/529.95 x 100% = 5.66% discount

ElectricPavlov  Feb 16, 2017
#2
+19653
+10

a television is on sale for $449.95.this is$30 off the original price.

what is the percent of the discount?

$$\begin{array}{|rcll|} \hline (449.95+30)\cdot (100\ \%-x) &=& 449.95 \\ 479.95\cdot (100\ \%-x) &=& 449.95 \\ 479.95\cdot (1-x) &=& 449.95 \\ 479.95 -479.95x &=& 449.95 \quad & | \quad \cdot (-1) \\ -479.95 +479.95x &=& -449.95 \quad & | \quad +479.95\\ 479.95x &=& 479.95-449.95 \\ 479.95x &=& 30 \\ x &=& \frac{30}{479.95} \\ x &=& 0.06250651109 \\ x &=& 6.250651109 \ \% \\ \hline \end{array}$$

The percent of the discount is $$\approx$$ 6.25 %

heureka  Feb 16, 2017
edited by heureka  Feb 16, 2017