Question

decrease in the number of visitors?
write an equation that represents this situation where p represents the total percent.
visitors
0 2,340 3900
0% ? 100%
\square \square \square = \square
2,340 3,900 \cdot 100 + 1,560 p -

Explanation:

Step1: Identify Original and New Visitors

Original visitors: \( 3900 \), New visitors: \( 2340 \). The decrease is \( 3900 - 2340 = 1560 \), but we need a percent equation. Percent \( p \) relates \( 2340 \) to \( 3900 \) as \( 3900 \times \frac{p}{100} = 2340 \) (or \( 3900 \cdot \frac{p}{100} = 2340 \), but using the given numbers, the equation is \( 3900 - 3900 \cdot \frac{p}{100} = 2340 \), but simplifying, since \( \frac{2340}{3900} = \frac{p}{100} \), so \( 3900 \cdot \frac{p}{100} = 2340 \) or \( 3900 \cdot p \div 100 = 2340 \), but with the tiles, the correct equation is \( 3900 - 3900 \cdot \frac{p}{100} = 2340 \), but using the given numbers, the equation is \( 3900 - 3900 \cdot \frac{p}{100} = 2340 \), but the tiles have \( 3900 \), \( \cdot \), \( p \), \( \div \) \( 100 \) (or \( \cdot \frac{p}{100} \)) equals \( 2340 \). Wait, the tiles: we have \( 3900 \), \( \cdot \), \( p \), \( \div \) \( 100 \) (since \( p \) is percent, so \( \frac{p}{100} \) of 3900 is the new number). So the equation is \( 3900 \cdot \frac{p}{100} = 2340 \), which can be written as \( 3900 \cdot p \div 100 = 2340 \), or with the tiles, \( 3900 \cdot p \div 100 = 2340 \), but the tiles given: 3900, \( \cdot \), \( p \), \( \div \) 100 (but the tiles have 100, so \( 3900 \cdot p \div 100 = 2340 \), which is \( 3900 \cdot \frac{p}{100} = 2340 \). So the equation is \( 3900 \cdot p \div 100 = 2340 \), or using the tiles, \( 3900 \cdot p \div 100 = 2340 \), but the problem says "Write an equation that represents this situation where \( p \) represents the total percent." Wait, maybe \( p \) is the percent of the original, so \( 3900 \times \frac{p}{100} = 2340 \), so the equation is \( 3900 \cdot p \div 100 = 2340 \), which is \( 3900 \cdot p / 100 = 2340 \). So the tiles: 3900, \( \cdot \), \( p \), \( \div \) 100, =, 2340. But the tiles given have 3900, \( \cdot \), \( p \), 100? Wait, the tiles: 2340, 3900, \( \cdot \), 100, +, 1560, \( p \), -. So the correct equation is \( 3900 - 3900 \cdot \frac{p}{100} = 2340 \), but with the tiles, it's \( 3900 - 3900 \cdot p \div 100 = 2340 \), but the tiles have \( 3900 \), \( - \), \( 3900 \cdot p \div 100 \) = \( 2340 \). Wait, no, the new number is 2340, which is the original (3900) minus the decrease (which is \( 3900 \cdot \frac{p}{100} \) if \( p \) is the percent decrease? Wait, no, \( p \) is the total percent (of original) that the new number is. Wait, the number line: 0% is 3900? No, wait, the top number line: 0, 2340, 3900? Wait, no, the top is visitors: 0, then 2340, then 3900? No, wait, the bottom number line: 0% is left, 100% is at 3900? Wait, no, the bottom number line: 0% on the left, 100% at 3900 (since 3900 is 100% of original). Then 2340 is at some percent \( p \) (wait, no, \( p \) is the percent, so 2340 is \( p \) percent of 3900? Wait, no, the question is "decrease in the number of visitors", so original is 3900, new is 2340. So the equation is \( 3900 \times (1 - \frac{p}{100}) = 2340 \), which simplifies to \( 3900 - 3900 \times \frac{p}{100} = 2340 \), but with the tiles, we have 3900, \( \cdot \), \( p \), \( \div \) 100, and 2340. Wait, the tiles available: 2340, 3900, \( \cdot \), 100, +, 1560, \( p \), -. So the correct equation is \( 3900 - 3900 \cdot \frac{p}{100} = 2340 \), which can be written as \( 3900 - 3900 \cdot p \div 100 = 2340 \), but using the tiles, we have 3900, \( - \), 3900, \( \cdot \), \( p \), \( \div \), 100, =, 2340. But the tiles given: the first tile is 3900, then \( \cdot \), then \( p \), then \( \div \) 100 (but 100 is a tile), so \( 3900 \cdot p \div 100 = 2340 \). Yes, because \( \frac{3900 \times p}{100} = 2340 \), which is the equation. So the tiles: 3900, \( \cdot \), \( p \), \( \div \) 100 (using the 100 tile) equals 2340. So the equation is \( 3900 \cdot p \div 100 = 2340 \), or \( 3900 \times \frac{p}{100} = 2340 \).

Step2: Assemble the Equation with Tiles

Using the given tiles: 3900, \( \cdot \), \( p \), \( \div \) 100 (represented by \( \cdot \) \( p \) \( \div \) 100, but the tiles have 100 as a tile, so \( 3900 \cdot p \div 100 = 2340 \). So the equation is \( 3900 \cdot p \div 100 = 2340 \), which can be written as \( 3900 \cdot p / 100 = 2340 \).

Answer:

\( 3900 \cdot p \div 100 = 2340 \) (or using the tiles: \( 3900 \cdot p \div 100 = 2340 \), with the tiles placed as 3900, \( \cdot \), \( p \), \( \div \), 100, =, 2340)