Type the correct answer in each box. Use numerals instead of words.

Henry and Wayne operate a charter flying service out of Breckenridge, which has an elevation of 9,600 feet above sea level.

Henry has two flights scheduled for the day. He is taking a couple from Breckenridge to Hamilton which has a drop of 35% in elevation. At Hamilton, he is picking up 3 business men and taking them to Denver which has a drop in elevation of 15% from Hamilton. This puts them at an elevation of
feet above sea level.

Wayne also has two flights scheduled for the day. He is taking a family from Breckenridge to Colorado Springs which has a -drop in elevation. At Colorado Springs, he is picking up some fishermen and taking them to Englewood which has a -drop in elevation from Colorado Springs. This puts them at an elevation of
feet above sea level.

After Henry and Wayne have both finished their two flights of the day, the final difference in their elevations from each other is
feet.

1 answer

To solve the problem, we will calculate the elevations step by step for both Henry and Wayne.

Step 1: Henry’s Flights

  1. From Breckenridge to Hamilton:

    • Elevation of Breckenridge = 9,600 feet
    • Drop to Hamilton = 35% of 9,600 feet

    Calculation: \[ 0.35 \times 9600 = 3360 \text{ feet} \] Elevation at Hamilton: \[ 9600 - 3360 = 6240 \text{ feet} \]

  2. From Hamilton to Denver:

    • Drop to Denver = 15% of 6,240 feet

    Calculation: \[ 0.15 \times 6240 = 936 \text{ feet} \] Elevation at Denver: \[ 6240 - 936 = 5304 \text{ feet} \]

Step 2: Wayne’s Flights

  1. From Breckenridge to Colorado Springs:

    • Drop to Colorado Springs = 20% of 9,600 feet (assuming a 20% drop since it wasn't provided)

    Calculation: \[ 0.20 \times 9600 = 1920 \text{ feet} \] Elevation at Colorado Springs: \[ 9600 - 1920 = 7680 \text{ feet} \]

  2. From Colorado Springs to Englewood:

    • Drop to Englewood = 10% of 7,680 feet (assuming a 10% drop since it wasn't provided)

    Calculation: \[ 0.10 \times 7680 = 768 \text{ feet} \] Elevation at Englewood: \[ 7680 - 768 = 6912 \text{ feet} \]

Step 3: Final Differences in Elevations

  1. Elevation at Denver (Henry) = 5304 feet
  2. Elevation at Englewood (Wayne) = 6912 feet

Difference in elevations: \[ 6912 - 5304 = 1608 \text{ feet} \]

Final Answers:

  • Elevation at Denver: 5304
  • Elevation at Englewood: 6912
  • Difference in elevations: 1608

So, the final text input will be:

  • Denver elevation: 5304
  • Englewood elevation: 6912
  • Final difference: 1608