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?

Question

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

Answer 1

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. $\frac{800÷8}{35÷8}=\frac{100}{4.375}$
2. $\frac{100÷8}{800÷8}=\frac{12.5}{100}$
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