Both Mitchell and Derrick are saving to take a vacation that will cost $5,000. If Mitchell has budgeted to save $500 from his paycheck every other month while Derrick has budgeted to save $300 from his paycheck every month, will they both be able to go on the vacation in a year and a half?

Since the total cost of the vacation is $5,000, both Mitchell and Derrick will have saved enough to cover the cost of the vacation. Therefore, both Mitchell and Derrick will be able to go on the vacation in a year and a half with their savings.

Step-by-step explanation:

To determine if both Mitchell and Derrick will be able to go on the $5,000 vacation in a year and a half, let's calculate their savings over this period:

1. Mitchell:

- Saving $500 every other month means he saves $500 every 2 months.

- In a year and a half (18 months), Mitchell will save for 9 periods (18 months / 2 months per period = 9 periods).

- Total savings by Mitchell = $500 * 9 = $4500

2. Derrick:

- Saving $300 every month.

- In a year and a half (18 months), Derrick will save for 18 periods.

- Total savings by Derrick = $300 * 18 = $5400

Comparing their total savings:

- Mitchell will have $4500

- Derrick will have $5400