Question

On your family vacation you plan on visiting five countries in central america. You have 24 days for your trip. You spend 1/6 of the time im belize, 3/5ths of the time in costa rica and the remaining time split between guatemala, honduras, and nicaragua. How long do you have in each country?

Answer 1

Family spent 4 days in belize and 14.4 days in costa rica and 1.8 days in each guatemala, honduras, and nicaragua

Solution:

You have 24 days for your trip

Total number of days = 24 days

You spend 1/6 of the time in belize

Therefore,

$\text{Time spent in belize } = \frac{1}{6} \times 24 = 4$

Thus, they spend 4 days in belize

3/5ths of the time in costa rica

Therefore,

$\text{Time spent in costa rica } = \frac{3}{5} \times 24 = 14.4$

Thus, they spend 14.4 days in costa rica

The remaining time split between guatemala, honduras, and nicaragua

Remaining = 24 - (4 + 14.4) = 24 - 18.4 = 5.6 days

5.6 days split between guatemala, honduras, and nicaragua

$\rightarrow \frac{5.6}{3} = 1.8$

Thus, they spent 4 days in belize and 14.4 days in costa rica and 1.8 days in each guatemala, honduras, and nicaragua