Question

Many insects migrate (travel) between their summer and winter homes. The desert locust migrates about 800 miles farther than the Monarch butterfly every spring, and the pink-spotted hawk moth migrates about 200 miles less than four times the distance of the Monarch butterfly every spring. Laid end to end, the distances traveled by a Monarch butterfly, a desert locust, and a pink-spotted hawk moth is about 12600 miles every spring. How far does each species travel?

Answer 1

The Monarch butterfly travels about 3,000 miles, the desert locust about 3,800 miles, and the pink-spotted hawk moth about 11,200 miles every spring.

Step-by-step explanation:

The Monarch butterfly flies up to 3,000 miles from its summer habitat in North America to its winter habitat in Mexico. The desert locust migrates about 800 miles farther than the Monarch butterfly every spring, so it travels about 3,800 miles. The pink-spotted hawk moth migrates about 200 miles less than four times the distance of the Monarch butterfly every spring, which is about 11,200 miles. When we add up the distances traveled by a Monarch butterfly, a desert locust, and a pink-spotted hawk moth, it totals about 12,600 miles every spring.

Answer 2

Distance travelled by Monarch butterfly = 2000 miles

Distance travelled by desert locust = 2800

Distance travelled by pink-spotted hawk moth= 7800 miles

Step-by-step explanation:

Let the distance travelled by Monarch butterfly be "X" miles

Distance travelled by desert locust is equal to X + 800 miles

Distance travelled by pink-spotted hawk moth is equal to 4X -200 miles

The total distance travelled by the three is equal to 12600 miles

`X + X + 800 + 4X -200 = 12600\\6X = 12600 -600\\6X = 12000\\X = 2000`

Distance travelled by Monarch butterfly = 2000 miles

Distance travelled by desert locust = 2000 + 800 = 2800

Distance travelled by pink-spotted hawk moth = 4 * 2000 -200 = 7800 miles