Answer:
a. The Mexican Airline offers a better deal for 9 students to travel.
b. 10 students
Step-by-step explanation:
a. The Mexican Air airline offers a round trip airfare of $250 per person.
So, for 9 students the fare will be total $(250 × 9) = $2250
Now, the Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1000.
So, for 9 students the total fare will be = $[1000 + (150 × 9)] =$2350.
Therefore, the Mexican Airline offers a better deal for 9 students to travel. (Answer)
b. Let for x students both the airline offers the same total costs.
Then we can write
250x = 1000 + 150x {From the conditions given}
⇒ 100x = 1000
⇒ x = 10
So, if the number of students is 10, then only both the airlines will take same fare. (Answer)
15 16 and then 17 to be an equilateral
115.2 pounds of type A coffee were used.
<h3>What is the solution of the equation?</h3>
A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of pounds of type A coffee be x and the number of pounds of Type B coffee be y.
According to the question, the equations are,
5.50x + 4.40y = 762.30
x = 4y
So, the solution of the equation is obtained as follows:
5.50(4y) + 4.40y = 762.30
26.40y = 762.30
y = 762.30/26.40
y = 28.8 pounds
x = 4*28.8 = 115.2 pounds
Learn more about equations here:
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Y-y1=m(x-x1)
y-2=-4(x-5)
y-2=-4x+20
y-2+2=-4x+20+2
y=-4x+22