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using a double number line to find the part or the whole in a percentag…

Question

using a double number line to find the part or the whole in a percentage...
there are 240 students at oaktown middle school, and 15% of them play instruments.
(a) create a double number line that can be used to find the number of students who play instruments.
(there are two select dropdowns and two number lines with 0 marked, and some boxes to fill in, along with a slider in the middle.)

Explanation:

Step1: Define whole and percentage

Whole student count: $240$, target percentage: $15\%$

Step2: Calculate 10% of total students

$\frac{10}{100} \times 240 = 24$

Step3: Calculate 5% of total students

$\frac{5}{100} \times 240 = 12$

Step4: Sum 10% and 5% for 15%

$24 + 12 = 36$

Step5: Map to double number line

Top line (percentages): $0$, $15\%$
Bottom line (students): $0$, $36$

Answer:

Double number line:

  • Top (percentage axis): Mark $0$ and $15\%$
  • Bottom (student count axis): Mark $0$ and $36$

The number of students who play instruments is $\boldsymbol{36}$