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QuestionIn Amanda's class, the ratio of students with widow's peaks to those without is 3:2. With 35 students, how many lack widow's peaks? 32wp=35 \frac{3}{2} w p=35

Studdy Solution

STEP 1

Assumptions1. The ratio of people with a widow's peak to people without a widow's peak is3. The total number of students in Amanda's class is353. The ratio represents a division of the total number of students

STEP 2

First, we need to find the total parts in the ratio. We can do this by adding the parts of the ratio together.
Total parts=Parts with widow′s peak+Parts without widow′s peakTotal\, parts = Parts\, with\, widow's\, peak + Parts\, without\, widow's\, peak

STEP 3

Now, plug in the given values for the parts of the ratio to calculate the total parts.
Total parts=3+2Total\, parts =3 +2

STEP 4

Calculate the total parts in the ratio.
Total parts=3+2=Total\, parts =3 +2 =

STEP 5

Now that we have the total parts in the ratio, we can find the value of each part. This can be done by dividing the total number of students by the total parts in the ratio.
Value of each part=Total number of students/Total partsValue\, of\, each\, part = Total\, number\, of\, students / Total\, parts

STEP 6

Plug in the values for the total number of students and the total parts to calculate the value of each part.
Value of each part=35/5Value\, of\, each\, part =35 /5

STEP 7

Calculate the value of each part.
Value of each part=35/5=7Value\, of\, each\, part =35 /5 =7

STEP 8

Now that we have the value of each part, we can find the number of students without widow's peaks. This can be done by multiplying the value of each part by the parts without widow's peaks.
Number of students without widow′s peaks=Value of each parttimesParts without widow′s peakNumber\, of\, students\, without\, widow's\, peaks = Value\, of\, each\, part \\times Parts\, without\, widow's\, peak

STEP 9

Plug in the values for the value of each part and the parts without widow's peaks to calculate the number of students without widow's peaks.
Number of students without widow′s peaks=7times2Number\, of\, students\, without\, widow's\, peaks =7 \\times2

STEP 10

Calculate the number of students without widow's peaks.
Number of students without widow′s peaks=7times2=14Number\, of\, students\, without\, widow's\, peaks =7 \\times2 =14There are14 students without widow's peaks in Amanda's class.

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