Read the problem below. Use the work backward strategy to find the answer.

Question

Rachel went on vacation. She spent $120 on her hotel stay, $45 on gas, $65 on food. She also went to amusement park (a ticket costs $30). Due to her careful budgetting, Rachel has $40 left in her pocket. How much money did she start off with?

Read the problem below. Use the work backward strategy to find the answer.

Rachel went on vacation. She spent $120 on her hotel stay, $45 on gas, $65 on food. She also went to amusement park (a ticket costs $30). Due to her careful budgetting, Rachel has $40 left in her pocket. How much money did she start off with?

41

38

10

7

Answer 1

To find out how much money Rachel started off with, we will work backwards from the amount of money she has left.

1. Rachel has $40 left.

2. Before going to the amusement park, she spent $30 on a ticket. So, adding that to the $40 she has left: \( 40 + 30 = 70 \) Now Rachel has $70 before going to the park.

3. Next, we consider the food expenses of $65: \( 70 + 65 = 135 \) So, before spending on food, she had $135.

4. Then, we add the gas expenses of $45: \( 135 + 45 = 180 \) So, before spending on gas, she had $180.

5. Finally, we add the hotel expenses of $120: \( 180 + 120 = 300 \) Therefore, before any of her expenses, Rachel must have started with $300.

So, Rachel started off with $300.

However, none of the provided answer options (41, 38, 10, 7) match this amount based on our calculations.

Answer 2

Read the problem below. Use the work backward strategy to find the answer.

Rachel went on vacation. She spent $120 on her hotel stay, $45 on gas, $65 on food. She also went to amusement park (a ticket costs $30). Due to her careful budgetting, Rachel has $40 left in her pocket. How much money did she start off with?

Read the problem below. Use the work backward strategy to find the answer.

Rachel went on vacation. She spent $120 on her hotel stay, $45 on gas, $65 on food. She also went to amusement park (a ticket costs $30). Due to her careful budgetting, Rachel has $40 left in her pocket. How much money did she start off with?

41

38

10

7

Answer 3

To find out how much money Rachel started off with using the work backward strategy, we can follow these steps:

1. Rachel has $40 left after all her expenses.

2. She spent $30 on an amusement park ticket, so before that she had: \[ 40 + 30 = 70 \] This means she had $70 before buying the amusement park ticket.

3. Before spending $65 on food, she had: \[ 70 + 65 = 135 \] So she had $135 before her food expenses.

4. Next, before spending $45 on gas, she had: \[ 135 + 45 = 180 \] So she had $180 before her gas expenses.

5. Finally, before spending $120 on the hotel, she had: \[ 180 + 120 = 300 \] Therefore, Rachel started off with $300.

Since the answer options provided (41, 38, 10, 7) do not include $300 and appear to be unrelated, it seems there might be a misunderstanding or an error in the answer choices given, as the correct calculated answer is indeed $300.