Julia spends 5/9 of her vacation at summer camp. She spends 3/4 of the remaining time at her grandparent's home. The remaining 7 days she spends at the seashore with her family. How many days of summer vacation does she get each summer?
Thanks steve
Well, let's do some clown calculations, shall we?
First, Julia spends 5/9 of her vacation at summer camp. So, if her vacation is represented by 9 units, she spends 5 units at camp.
Now, we have 4 units of vacation left. Julia spends 3/4 of these remaining units at her grandparent's home. So, if we divide the remaining 4 units into 4 equal parts, Julia spends 3 of them at her grandparent's home.
That leaves us with 1 unit of vacation left. And guess what? Julia spends all of this remaining unit at the seashore with her family for 7 days.
So, to summarize the clown math, Julia spends 5 units at summer camp, 3 units at her grandparent's home, and 1 unit at the seashore. And since 1 unit equals 7 days, Julia gets a total of 5 + 3 + 1 = 9 units or 9 x 7 = 63 days of summer vacation each summer. Ta-da!
To find out how many days of summer vacation Julia gets each summer, we need to add up the time she spends at each place.
First, let's find out how much time Julia spends at summer camp. We are told that she spends 5/9 of her vacation there.
So, summer camp = 5/9 of the total vacation time.
Next, let's calculate the remaining time after summer camp. Since we know that the total vacation time is the denominator of the fraction, we can subtract the fraction (5/9) from the whole (1).
Remaining time = 1 - 5/9 = (9/9) - (5/9) = 4/9 of the total vacation time.
Now, let's find out how much time Julia spends at her grandparent's home. We're told that she spends 3/4 of the remaining time there.
So, grandparent's home = 3/4 of the remaining time = 3/4 * (4/9) = 12/36 = 1/3 of the total vacation time.
Finally, we know that Julia spends the remaining 7 days at the seashore with her family.
Therefore, seashore = 7 days.
To find the total number of days of Julia's summer vacation, we add up the time spent at each place:
Total vacation days = summer camp + grandparent's home + seashore
Total vacation days = 5/9 + 1/3 + 7
To simplify the computation, let's convert the fractions to have the same denominator:
Total vacation days = (5/9) + (3/9) + 7
Total vacation days = 8/9 + 7
Total vacation days = 8/9 + (7/1)
Total vacation days = (8 + 63)/9
Total vacation days = 71/9
Therefore, Julia gets approximately 7.89 days of summer vacation each summer.
To determine the number of days Julia gets for her summer vacation, we need to calculate the total number of vacation days she spent at each location.
1. First, let's find out how many days Julia spent at summer camp. We are given that she spends 5/9 of her vacation at summer camp. To calculate this, we multiply the total days by 5/9:
Summer camp days = Total days * 5/9
2. Next, we need to determine the remaining time that Julia had after spending time at summer camp. We can calculate this by subtracting the days spent at summer camp from the total days:
Remaining days = Total days - Summer camp days
3. Now, let's find out how many days Julia spent at her grandparent's home. We are given that she spent 3/4 of the remaining time at her grandparent's home. To calculate this, we multiply the remaining days by 3/4:
Grandparent's home days = Remaining days * 3/4
4. Finally, we need to determine the number of days Julia spent at the seashore with her family. We know that the remaining 7 days were spent at the seashore, so no calculations are needed for this step.
5. To find the total number of summer vacation days, we add up the days spent at each location:
Total summer vacation days = Summer camp days + Grandparent's home days + Seashore days
By following this process, we can calculate the total number of days Julia gets for her summer vacation.
5/9 x + 3/4 * 4/9 x + 7 = x
x = 63