eight hundred tickets are sold for a play. th...
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. \(\frac{35\times8}{100\times8}=\frac{280}{800}\)