Question
Dylan is making welcome bags for new students. He has already made 10 bags, and can make 10 bags per day. If there are 120 new students this year, how many days will it take for his to make exactly 120 bags?
Let d be the number of bags Dylan makes. Start by writing an expression that represents the total amount of bags Dylan makes.
Excellent!
Complete the equation to represent the number of bags Dylan needs to make for all the new students.
10d+10 =
Nice!
Solve for the value of d. Solve on paper, or show your work below. Then enter your answer on Zearn.
10d+10
=
120
d
=
Great job!
What does your answer of 11 mean in this situation?
10d+10 = 120
d = 11
Dylan needs to make welcome bags for 11 days to make one for each new student.
Dylan needs to buy 11 bags to have enough for each new student.
Dylan needs to make 11 bags to make enough for each new student.
Good work!
Let’s say that Dylan wants to have welcome bags left over after making one for each new student. Complete the statement to write an inequality that represents Dylan having some welcome bags left over after making one for each new student.
10d+10 = 120
d = 11
10d+10 120
Let d be the number of bags Dylan makes. Start by writing an expression that represents the total amount of bags Dylan makes.
Excellent!
Complete the equation to represent the number of bags Dylan needs to make for all the new students.
10d+10 =
Nice!
Solve for the value of d. Solve on paper, or show your work below. Then enter your answer on Zearn.
10d+10
=
120
d
=
Great job!
What does your answer of 11 mean in this situation?
10d+10 = 120
d = 11
Dylan needs to make welcome bags for 11 days to make one for each new student.
Dylan needs to buy 11 bags to have enough for each new student.
Dylan needs to make 11 bags to make enough for each new student.
Good work!
Let’s say that Dylan wants to have welcome bags left over after making one for each new student. Complete the statement to write an inequality that represents Dylan having some welcome bags left over after making one for each new student.
10d+10 = 120
d = 11
10d+10 120
Answers
GPT-4o mini
To represent the situation where Dylan wants to have some welcome bags left over after making enough for each new student, you can write the inequality as follows:
\[ 10d + 10 > 120 \]
This means that the total number of bags Dylan makes (10 bags per day for \(d\) days, plus the 10 bags he already made) should be greater than the 120 bags needed for the new students.
Now, we can solve this inequality for \(d\):
1. Start with the inequality:
\[ 10d + 10 > 120 \]
2. Subtract 10 from both sides:
\[ 10d > 110 \]
3. Divide both sides by 10:
\[ d > 11 \]
This means that Dylan needs to make bags for more than 11 days to have some leftover bags after providing each new student with a welcome bag.
\[ 10d + 10 > 120 \]
This means that the total number of bags Dylan makes (10 bags per day for \(d\) days, plus the 10 bags he already made) should be greater than the 120 bags needed for the new students.
Now, we can solve this inequality for \(d\):
1. Start with the inequality:
\[ 10d + 10 > 120 \]
2. Subtract 10 from both sides:
\[ 10d > 110 \]
3. Divide both sides by 10:
\[ d > 11 \]
This means that Dylan needs to make bags for more than 11 days to have some leftover bags after providing each new student with a welcome bag.