Question
Multiple Choice Question
Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend 3/5 of this amount on gasoline for the drive and motel rooms along the way and 1/2 of the remainder on meals. How much does Molly's family plan to spend on meals?
Answers
GPT-4o mini
To determine how much Molly's family plans to spend on meals, we can break this down step by step.
1. **Calculate the amount spent on gasoline and motel rooms:**
\[
\text{Amount for gasoline and motels} = \frac{3}{5} \times 3000 = \frac{9000}{5} = 1800
\]
2. **Calculate the remainder after spending on gasoline and motels:**
\[
\text{Remaining amount} = 3000 - 1800 = 1200
\]
3. **Calculate the amount spent on meals:**
The family plans to spend \( \frac{1}{2} \) of the remaining amount on meals:
\[
\text{Amount for meals} = \frac{1}{2} \times 1200 = \frac{1200}{2} = 600
\]
So, Molly's family plans to spend **$600** on meals.
1. **Calculate the amount spent on gasoline and motel rooms:**
\[
\text{Amount for gasoline and motels} = \frac{3}{5} \times 3000 = \frac{9000}{5} = 1800
\]
2. **Calculate the remainder after spending on gasoline and motels:**
\[
\text{Remaining amount} = 3000 - 1800 = 1200
\]
3. **Calculate the amount spent on meals:**
The family plans to spend \( \frac{1}{2} \) of the remaining amount on meals:
\[
\text{Amount for meals} = \frac{1}{2} \times 1200 = \frac{1200}{2} = 600
\]
So, Molly's family plans to spend **$600** on meals.
Multiple Choice Question
Jackson is given the expression below to simplify.
9x – 4 + 4x + 5x + 19
Which expression is equivalent to Jackson's expression?
A.
3(6x + 5)
B.
18x + 23
C.
5(x + 2)
D.
14x + 19