QuestionJefferson High has 5 times Taft's students minus 100. If Taft has $t$ students, find Jefferson's students. For $t = 300$ , calculate Jefferson's count.

Studdy Solution

STEP 1

Assumptions1. Let's denote the number of students at Jefferson High School as $J$ and the number of students at Taft High School as $t$ . . According to the problem, Jefferson High School has100 less than5 times as many students as Taft High School.

STEP 2

We can write the relationship between the number of students at Jefferson High School and Taft High School as an equation.
$J =5t -100$

STEP 3

Now, we can plug in the given value for $t$ (the number of students at Taft High School) to find the number of students at Jefferson High School.
$J =5 \times300 -100$

STEP 4

Perform the multiplication operation first, according to the order of operations (PEMDAS/BODMAS).
$J =1500 -100$

STEP 5

Subtract100 from1500 to find the number of students at Jefferson High School.
$J =1500 -100 =1400$ Jefferson High School has1400 students.

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QuestionJefferson High has 5 times Taft's students minus 100. If Taft has $t$ students, find Jefferson's students. For $t = 300$ , calculate Jefferson's count.

Studdy Solution

STEP 1

Assumptions1. Let's denote the number of students at Jefferson High School as $J$ and the number of students at Taft High School as $t$ . . According to the problem, Jefferson High School has100 less than5 times as many students as Taft High School.

STEP 2

We can write the relationship between the number of students at Jefferson High School and Taft High School as an equation.
$J =5t -100$

STEP 3

Now, we can plug in the given value for $t$ (the number of students at Taft High School) to find the number of students at Jefferson High School.
$J =5 \times300 -100$

STEP 4

Perform the multiplication operation first, according to the order of operations (PEMDAS/BODMAS).
$J =1500 -100$

STEP 5

Subtract100 from1500 to find the number of students at Jefferson High School.
$J =1500 -100 =1400$ Jefferson High School has1400 students.

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QuestionJefferson High has 5 times Taft's students minus 100. If Taft has ttt students, find Jefferson's students. For t=300t = 300t=300, calculate Jefferson's count.

Studdy Solution

STEP 1

Assumptions1. Let's denote the number of students at Jefferson High School as JJJ and the number of students at Taft High School as ttt. . According to the problem, Jefferson High School has100 less than5 times as many students as Taft High School.

STEP 2

We can write the relationship between the number of students at Jefferson High School and Taft High School as an equation.J=5t−100J =5t -100J=5t−100

STEP 3

Now, we can plug in the given value for ttt (the number of students at Taft High School) to find the number of students at Jefferson High School.J=5×300−100J =5 \times300 -100J=5×300−100

STEP 4

Perform the multiplication operation first, according to the order of operations (PEMDAS/BODMAS).J=1500−100J =1500 -100J=1500−100

STEP 5

Subtract100 from1500 to find the number of students at Jefferson High School.J=1500−100=1400J =1500 -100 =1400J=1500−100=1400Jefferson High School has1400 students.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionJefferson High has 5 times Taft's students minus 100. If Taft has $t$ students, find Jefferson's students. For $t = 300$ , calculate Jefferson's count.

Assumptions1. Let's denote the number of students at Jefferson High School as $J$ and the number of students at Taft High School as $t$ . . According to the problem, Jefferson High School has100 less than5 times as many students as Taft High School.

We can write the relationship between the number of students at Jefferson High School and Taft High School as an equation.
$J =5t -100$

Now, we can plug in the given value for $t$ (the number of students at Taft High School) to find the number of students at Jefferson High School.
$J =5 \times300 -100$

Perform the multiplication operation first, according to the order of operations (PEMDAS/BODMAS).
$J =1500 -100$

Subtract100 from1500 to find the number of students at Jefferson High School.
$J =1500 -100 =1400$ Jefferson High School has1400 students.