eight hundred tickets are sold for a play. thirty - five percent of those tickets were sold in advance…

eight hundred tickets are sold for a play. thirty - five percent of those tickets were sold in advance. which equation can be used to find the number of tickets sold in advance?\n$\frac{800div8}{35div8}=\frac{100}{4.375}$\n$\frac{100div8}{800div8}=\frac{12.5}{100}$\n$\frac{35\times8}{800\times8}=\frac{280}{6400}$\n$\frac{35\times8}{100\times8}=\frac{280}{800}$

eight hundred tickets are sold for a play. thirty - five percent of those tickets were sold in advance. which equation can be used to find the number of tickets sold in advance?\n$\frac{800div8}{35div8}=\frac{100}{4.375}$\n$\frac{100div8}{800div8}=\frac{12.5}{100}$\n$\frac{35\times8}{800\times8}=\frac{280}{6400}$\n$\frac{35\times8}{100\times8}=\frac{280}{800}$

Answer

Explanation:

Step1: Recall percentage - formula

The formula to find the part (number of tickets sold in advance) when the whole (total number of tickets) and the percentage are given is (Part=\frac{Percentage}{100}\times Whole). Here, the whole is 800 tickets and the percentage is 35%. So the number of tickets sold in advance (n = \frac{35}{100}\times800). We can also think of it in terms of equivalent - fractions. If we multiply both the numerator and denominator of (\frac{35}{100}) by 8, we get (\frac{35\times8}{100\times8}=\frac{280}{800}).

Answer:

D. (\frac{35\times8}{100\times8}=\frac{280}{800})