QuestionAmerican White Pelicans migrate 1680 miles. If the ratio of summer home to stopover is $3:4$ , find the distance to the stopover in mi.

Studdy Solution

STEP 1

Assumptions1. The ratio of the distance from the summer home to the stopover to the distance from the stopover to the winter home is34. . The total distance that the pelicans migrate is1680 miles.

STEP 2

The total ratio is the sum of the individual ratios. In this case, it's (for the distance from the summer home to the stopover) plus4 (for the distance from the stopover to the winter home).
$Total\, ratio = +4$

STEP 3

Calculate the total ratio.
$Total\, ratio =3 + =7$

STEP 4

Now we can find the length of each part of the journey by dividing the total distance by the total ratio. This gives us the length of one "unit" of the journey.
$Unit\, length = Total\, distance / Total\, ratio$

STEP 5

Plug in the values for the total distance and the total ratio to calculate the unit length.
$Unit\, length =1680\, miles /7$

STEP 6

Calculate the unit length.
$Unit\, length =1680\, miles / =240\, miles$

STEP 7

Now we can find the distance from the summer home to the stopover by multiplying the unit length by the ratio for this part of the journey.
$Distance\, from\, summer\, home\, to\, stopover = Unit\, length \\times Ratio\, for\, this\, part$

STEP 8

Plug in the values for the unit length and the ratio for this part of the journey to calculate the distance from the summer home to the stopover.
$Distance\, from\, summer\, home\, to\, stopover =240\, miles \\times3$

STEP 9

Calculate the distance from the summer home to the stopover.
$Distance\, from\, summer\, home\, to\, stopover =240\, miles \\times3 =720\, miles$ The distance from the summer home to the stopover is720 miles.

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QuestionAmerican White Pelicans migrate 1680 miles. If the ratio of summer home to stopover is $3:4$ , find the distance to the stopover in mi.

Studdy Solution

STEP 1

Assumptions1. The ratio of the distance from the summer home to the stopover to the distance from the stopover to the winter home is34. . The total distance that the pelicans migrate is1680 miles.

STEP 2

The total ratio is the sum of the individual ratios. In this case, it's (for the distance from the summer home to the stopover) plus4 (for the distance from the stopover to the winter home).
$Total\, ratio = +4$

STEP 3

Calculate the total ratio.
$Total\, ratio =3 + =7$

STEP 4

Now we can find the length of each part of the journey by dividing the total distance by the total ratio. This gives us the length of one "unit" of the journey.
$Unit\, length = Total\, distance / Total\, ratio$

STEP 5

Plug in the values for the total distance and the total ratio to calculate the unit length.
$Unit\, length =1680\, miles /7$

STEP 6

Calculate the unit length.
$Unit\, length =1680\, miles / =240\, miles$

STEP 7

Now we can find the distance from the summer home to the stopover by multiplying the unit length by the ratio for this part of the journey.
$Distance\, from\, summer\, home\, to\, stopover = Unit\, length \\times Ratio\, for\, this\, part$

STEP 8

Plug in the values for the unit length and the ratio for this part of the journey to calculate the distance from the summer home to the stopover.
$Distance\, from\, summer\, home\, to\, stopover =240\, miles \\times3$

STEP 9

Calculate the distance from the summer home to the stopover.
$Distance\, from\, summer\, home\, to\, stopover =240\, miles \\times3 =720\, miles$ The distance from the summer home to the stopover is720 miles.

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QuestionAmerican White Pelicans migrate 1680 miles. If the ratio of summer home to stopover is 3:43:43:4, find the distance to the stopover in mi.

Studdy Solution

STEP 1

Assumptions1. The ratio of the distance from the summer home to the stopover to the distance from the stopover to the winter home is34. . The total distance that the pelicans migrate is1680 miles.

STEP 2

The total ratio is the sum of the individual ratios. In this case, it's (for the distance from the summer home to the stopover) plus4 (for the distance from the stopover to the winter home).Total ratio=+4Total\, ratio = +4Totalratio=+4

STEP 3

Calculate the total ratio.Total ratio=3+=7Total\, ratio =3 + =7Totalratio=3+=7

STEP 4

Now we can find the length of each part of the journey by dividing the total distance by the total ratio. This gives us the length of one "unit" of the journey.Unit length=Total distance/Total ratioUnit\, length = Total\, distance / Total\, ratioUnitlength=Totaldistance/Totalratio

STEP 5

Plug in the values for the total distance and the total ratio to calculate the unit length.Unit length=1680 miles/7Unit\, length =1680\, miles /7Unitlength=1680miles/7

STEP 6

Calculate the unit length.Unit length=1680 miles/=240 milesUnit\, length =1680\, miles / =240\, milesUnitlength=1680miles/=240miles

STEP 7

STEP 8

STEP 9

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QuestionAmerican White Pelicans migrate 1680 miles. If the ratio of summer home to stopover is $3:4$ , find the distance to the stopover in mi.

The total ratio is the sum of the individual ratios. In this case, it's (for the distance from the summer home to the stopover) plus4 (for the distance from the stopover to the winter home).
$Total\, ratio = +4$

Calculate the total ratio.
$Total\, ratio =3 + =7$

Now we can find the length of each part of the journey by dividing the total distance by the total ratio. This gives us the length of one "unit" of the journey.
$Unit\, length = Total\, distance / Total\, ratio$

Plug in the values for the total distance and the total ratio to calculate the unit length.
$Unit\, length =1680\, miles /7$

Calculate the unit length.
$Unit\, length =1680\, miles / =240\, miles$