Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend 3/5

Question

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?

A.

$600

B.

$900

C.

$1,200

D.

$1,500

Answer 1

To determine how much Molly's family plans to spend on meals, we need to calculate the amount they will spend on gasoline and motel rooms first, and then find the remainder to calculate the spending on meals.

1. Calculate the amount spent on gasoline and motel rooms:

   • They plan to spend \( \frac{3}{5} \) of $3,000.
   • Amount spent on gasoline and motel rooms: \[ \text{Amount spent} = \frac{3}{5} \times 3000 = 1800 \]

2. Calculate the remainder after spending on gasoline and motel rooms:

   • Total amount set aside is $3,000, and they've spent $1,800.
   • Remainder: \[ \text{Remainder} = 3000 - 1800 = 1200 \]

3. Calculate the amount spent on meals:

   • They will spend \( \frac{1}{2} \) of the remainder on meals.
   • Amount spent on meals: \[ \text{Amount spent on meals} = \frac{1}{2} \times 1200 = 600 \]

Therefore, Molly's family plans to spend $600 on meals.

The answer is A. $600.