Explanation is in a file
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By solving a linear equation, we will see that the total cost for renting the bus is $90.
<h3>What was the total cost of renting the bus, in dollars?</h3>
Let's say that the total cost is C.
When there are 20 students, each student should pay:
p = C/20
When the other 10 students are added (for a total of 30) each student pays:
p' = C/30.
We know that the cost for each of the original 20 students decreased by $1.50, so:
p' = p - $1.50
Then we have 3 equations to work with:
p = C/20
p' = C/30.
p' = p - $1.50
Now we can replace the first and second equations into the third one:
C/30 = C/20 - $1.50
Now we can solve this linear equation for C:
C/20 - C/30 = $1.50
C*( 1/20 - 1/30) = $1.50
C*(30/600 - 20/600) = $1.50
C*(10/600) = $1.50
C*(1/60) = $1.50
C = 60*$1.50 = $90
So the total cost for renting the bus is $90.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
3
Step-by-step explanation:
Answer:
y = x + 7
y = (-x) + 2
X + 7 = (-x) + 2
X + X = 2 - 7
2x = (-5)
<h3>x = (-5)/2 </h3>
Putting the value of X in equation
Y = (-5/2) + 7
Y = (-5)/2 + 7/1
Equalising the denominator by Taking LCM
Y = (-5)/2 +14/2
Y = ( -5 +14)/2
<h3>Y = (9)/2 </h3>
Find the common denominator of 3 and 12 which would be 12.
Then we add the 2 fractions together to get 9/12.
Now we know that 9/12 of the guests chose chicken and beef.
We also know that 69 guests is equivalent to 3/12 which can be simplified down to get 1/4.
So now we can do 69x4 to get 4/4 which is also 12/12, the amount of guests .
69x4 is 276
Your final should be 276.