QuestionThe students at Roseville Academy look forward to the annual jog-a-thon every year. After students finish running their laps, they get their choice of ice pop. So far, of the 14 students who finished their jog-a-thon laps, 3 chose an orange ice pop, 5 chose lime, and 6 chose strawberry.
Based on the data, estimate how many of the remaining 78 students will choose a lime ice pop.
If necessary, round your answer to the nearest whole number.
students
Studdy Solution
STEP 1
What is this asking? How many of the remaining 78 students will likely choose a lime ice pop, based on the current lime-choosing trend? Watch out! Don't forget to round to the nearest whole number at the end!
STEP 2
1. Calculate the total number of students.
2. Calculate the fraction of students who chose lime.
3. Estimate the number of remaining students who will choose lime.
STEP 3
We know that 14 students *already* finished and 78 *still* need to finish.
Let's **add** those together to get the **total** number of students: .
So there are **92** total students participating in this jog-a-thon!
STEP 4
Out of the first 14 students, chose lime.
This means the **fraction** of students who chose lime is .
This fraction represents the current **lime-choosing trend**!
STEP 5
We have 78 students left, and we expect roughly of them to choose lime.
To find this estimate, we **multiply**: .
STEP 6
Let's **simplify**!
We can rewrite 78 as , so we have .
We can also rewrite 14 as , so we have .
Now, we can rewrite 6 as , so we have .
We can **divide** the numerator and denominator by 2, which is like multiplying by , so we have .
STEP 7
Now, let's **multiply** across: .
STEP 8
Time to **divide** by .
We get approximately .
STEP 9
Since we need a **whole number** of students, we'll **round** to the nearest whole number, which is **28**.
STEP 10
We estimate that **28** of the remaining students will choose a lime ice pop.
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