To solve this problem, let's carefully examine each of the statements provided and determine which ones are accurate in this context.
1. Statement: [tex]\(\frac{s}{3}=8\)[/tex]
- This equation indicates that when the total number of strawberries [tex]\(s\)[/tex] is divided among the 3 friends, each friend receives 8 strawberries. This is correct since Sylvia distributed the strawberries equally among her 3 friends, and each received 8 strawberries. Thus, this statement is true.
2. Statement: [tex]\(3s=8\)[/tex]
- This equation suggests that three times the total number of strawberries [tex]\(s\)[/tex] equals 8. This is incorrect because multiplying [tex]\(s\)[/tex] by 3 should give you a value much larger than 8 unless [tex]\(s\)[/tex] is a fraction much smaller than 1. Therefore, this statement is false.
3. Statement: The variable, [tex]\(s\)[/tex], is equal to the number of strawberries each friend receives.
- This statement is incorrect because the variable [tex]\(s\)[/tex] actually represents the total number of strawberries in the package, not the number each friend receives. Therefore, this statement is false.
4. Statement: The variable, [tex]\(s\)[/tex], is equal to the number of strawberries that were in the package.
- This statement is accurate because [tex]\(s\)[/tex] indeed represents the total number of strawberries that Sylvia had in the package before sharing them with her friends. Thus, this statement is true.
5. Statement: There are 24 strawberries in the package.
- Given the correct equation [tex]\(\frac{s}{3} = 8\)[/tex], we can solve for [tex]\(s\)[/tex]:
[tex]\[
s = 8 \times 3 = 24
\][/tex]
Therefore, the total number of strawberries in the package is 24, making this statement true.
To summarize, the true statements are:
1. [tex]\(\frac{s}{3}=8\)[/tex]
2. The variable, [tex]\(s\)[/tex], is equal to the number of strawberries that were in the package.
3. There are 24 strawberries in the package.
The statements that correctly describe the situation are:
- [tex]\(\frac{s}{3} = 8\)[/tex]
- The variable, [tex]\(s\)[/tex], is equal to the number of strawberries that were in the package.
- There are 24 strawberries in the package.
Thus, the correct answers are:
- [tex]\(\frac{s}{3}=8\)[/tex]
- The variable, [tex]\(s\)[/tex], is equal to the number of strawberries that were in the package.
- There are 24 strawberries in the package.
