If 45 cookies will serve 15 students, how many cookies are needed for 30 students?

ossidianaZ

ossidianaZ

Answered question

2020-10-31

If 45 cookies will serve 15 students, how many cookies are needed for 30 students?

Answer & Explanation

pivonie8

pivonie8

Skilled2020-11-01Added 91 answers

Assuming there is an equal ratio you can double the amount of cookies because the amount of students double. Therefore you need 90 cookies.
nick1337

nick1337

Expert2023-05-22Added 777 answers

Let's denote the number of cookies needed as x.
We have the following proportion:
4515=x30
To solve for x, we can cross-multiply:
45·30=15x
Now, we can solve for x by dividing both sides of the equation by 15:
x=45·3015
Simplifying the expression:
x=135015
x=90
Therefore, 90 cookies are needed for 30 students.
Vasquez

Vasquez

Expert2023-05-22Added 669 answers

Answer:
x=90
Explanation:
The proportion can be written as:
4515=x30
To find x, we can cross-multiply and solve for x:
45·30=15·x
1350=15x
To isolate x, we divide both sides of the equation by 15:
135015=15x15
x=90
Hence, x=90.
RizerMix

RizerMix

Expert2023-05-22Added 656 answers

Step 1:
We can set up the proportion as follows:
4515=x30
Here, the fraction on the left side represents the ratio of cookies to students for the initial scenario, and the fraction on the right side represents the ratio for the desired scenario.
To solve for x, we can cross-multiply and then divide:
45×30=15×x
Step 2:
Now we can solve for x:
x=45×3015
Simplifying the expression on the right side:
x=135015
Finally, performing the division:
x=90
Therefore, we need 90 cookies for 30 students.

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