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. Complete the equation that models the total number of students, t , in Ms. Garcia’s class.(1 point)
t =
In her science project, Martina is observing how fast kitchen condiments can be dissolved in water. She put 8.5 ounces of water into each of 5 containers. Complete the equation that models the total amount of water, w , Martina used.(1 point)
w/
=
A store is selling ribbon by the yard. Mike bought 8 yards of red ribbon. Each yard cost $3.50. Complete and solve the working equation that represents the amount, a, Mike paid for buying 8 yards of ribbon.(1 point)
a/8=
a=
dollars
A store is having its year-end sale. A shirt now costs $7.98, which is half of its original price. Complete and solve the working equation that represents the original price, p, of the shirt.(1 point)
p=7.98
p=
dollars
t = (8 students)/(2/3) = 12 students
w = 8.5 ounces/container × 5 containers = 42.5 ounces
a/8 = 8 yards × $3.50/yard
a = $28
p = $7.98/(1/2) = $15.96
To solve these equations, you need to use basic algebraic operations. Let's go through each question and explain how to find the solution.
1. The equation that models the total number of students, t, in Ms. Garcia's class can be written as:
t = (2/3) * 8
To find the total number of students, you multiply the fraction (2/3) by the number of students who own a pet (8). In this case, the answer is:
t = 16/3, or 5 and 1/3 (if you want a mixed number)
2. The equation that models the total amount of water, w, Martina used can be written as:
w = 8.5 * 5
To find the total amount of water used, you multiply the amount of water in each container (8.5 ounces) by the number of containers (5). The answer is:
w = 42.5 ounces
3. The equation that represents the amount, a, Mike paid for buying 8 yards of ribbon can be written as:
a/8 = 3.50
To find the total amount, you multiply the cost per yard ($3.50) by the number of yards (8). To solve for a, you can cross multiply:
a = 8 * 3.50
The answer is:
a = 28 dollars
4. To represent the original price, p, of the shirt, the equation can be written as:
p/2 = 7.98
Since the sale price is half the original price, you simply multiply the sale price ($7.98) by 2 to find the original price. To solve for p, you can cross multiply:
p = 2 * 7.98
The answer is:
p = 15.96 dollars
t = 12
w = 8.5 * 5 = 42.5 ounces
a/8 = 3.50
a = 8 * 3.50 = 28 dollars
p = 7.98 * 2 = 15.96 dollars