Let's go through each question and provide the needed equations and calculations.
Question 1
A) Ms. Garcia surveyed the students in her class to find out if they own a pet. Two-thirds of the class, or 8 students, own a pet.
To find the total number of students \( t \) in Ms. Garcia's class, we can set up the equation:
\[ \frac{2}{3} t = 8 \]
To find \( t \), we can multiply both sides by \( \frac{3}{2} \):
\[ t = 8 \times \frac{3}{2} = 12 \]
So, the equation to model the total number of students is
\[ t = 12 \]
Question 2
A) Julio is making lemonade to be sold at a fair. He bought 5 bags of lemons for $19.75.
To find the cost \( c \) of each bag of lemons, we can set up the equation:
\[ 5c = 19.75 \]
Now, solve for \( c \):
\[ c = \frac{19.75}{5} = 3.95 \]
So, the equation that models the cost of each bag is
\[ c = 3.95 \]
Question 3
A) Martina is observing how fast kitchen condiments can be dissolved in water. She put 8.5 ounces of water into each of 5 containers.
To find the total amount of water \( w \) Martina used, we can set up the equation:
\[ w = 8.5 \times 5 \]
Now, calculate \( w \):
\[ w = 42.5 \]
Thus, the equation that models the total amount of water is
\[ w = 42.5 \]
Question 4
A) A store is selling ribbon by the yard. Mike bought 8 yards of red ribbon. Each yard cost $3.50.
To find the amount \( a \) Mike paid, we can set up the equation:
\[ a = 8 \times 3.50 \]
Now, calculate \( a \):
\[ a = 28 \]
Thus, the working equation is:
\[ a = 8 \times 3.50 \]
So, the amounts are:
\[ a8 = 28 \]
And
\[ a = 28 \text{ dollars} \]
Summary of Answers:
- \( t = 12 \)
- \( c = 3.95 \)
- \( w = 42.5 \)
- \( a8 = 28 \); \( a = 28 \) dollars