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?

StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction
StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction
StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction
StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction

1 answer

To find the number of tickets sold in advance, we need to calculate 35% of the total ticket sales, which is 800 tickets.

We can use the equation:

\[ x = 0.35 \times 800 \]

This can also be expressed as a fraction:

\[ x = \frac{35}{100} \times 800 \]

To put this into a form that resembles the provided options, we can simplify:

\[ x = \frac{35 \times 800}{100} \]

Now let's check the options provided:

  1. \( \frac{800 \div 8}{35 \div 8} = \frac{100}{4.375} \)
  2. \( \frac{100 \div 8}{800 \div 8} = \frac{12.5}{100} \)
  3. \( \frac{35 \times 8}{800 \times 8} = \frac{280}{6400} \)
  4. \( \frac{35 \times 8}{100 \times 8} = \frac{280}{800} \)

The option that directly relates to \( \frac{35}{100} \times 800 \) would be the fourth one.

Thus, the appropriate equation to find the number of tickets sold in advance is:

\[ \frac{35 \times 8}{100 \times 8} = \frac{280}{800} \]

So, the correct answer is:

StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction