Aimi is making Valentine's Day cards for everyone in her class. She plans to use a whole sheet of paper for each of her 5 closest friends. She will use 1/2 of a sheet of paper for everyone else in the class. She has 15 sheets of paper. How many cards can she make?
The choices given are 7, 20, 5, 30. I believe the answer is 25. Is this correct.
Right.
To find out how many cards Aimi can make, we need to calculate the number of sheets of paper she will use for her 5 closest friends and everyone else in the class separately.
For her 5 closest friends:
She plans to use a whole sheet of paper for each of her 5 closest friends, so the number of sheets of paper used for her closest friends is 5 * 1 = 5.
For everyone else in the class:
She plans to use 1/2 of a sheet of paper for everyone else. As she has 15 sheets of paper in total, the number of sheets left for everyone else is 15 - 5 = 10.
Now, to find how many cards she can make, we need to calculate how many people are in her class. Let's denote the number of people in her class as C.
From the information given in the question, we know that Aimi has 5 closest friends. So the number of people she will use a whole sheet of paper for is 5.
The remaining people in her class, who will receive 1/2 a sheet of paper each, can be calculated as: C - 5.
Since Aimi has 10 sheets of paper remaining to make cards for everyone else, we can set up the following equation:
(1/2) * (C - 5) = 10
Now we can solve for C:
(1/2) * C - (5/2) = 10
Multiply both sides of the equation by 2 to remove the fraction:
C - 5 = 20
Add 5 to both sides of the equation:
C = 20 + 5
C = 25
It means there are 25 people in Aimi's class in total.
Therefore, Aimi can make cards for her 5 closest friends and 20 other people in her class (25 - 5) = 5 + 20 = 25.
So the correct answer is 25, not 30.