Respuesta :
Let the price of mini golf be $x
Let the price of batting cage be $y
Sylvester:
Price for 5 rounds of mini golf = 5x
Price for 4 rounds of batting cage =4y
Total price paid =$60
Therefore the required equation is:
5x+4y=60 ----------(1)
Lin:
Price for 3 rounds of mini golf =3x
Price for 6 rounds of batting cage =6y
Total price paid = $45
Therefore the required equation is:
3x+6y=45 ----------(2)
Let's use elimination method to find the prices.
Multiply the first equation by 3
15x + 12y =180 -------(3)
Multiply the second equation by 5
15x +30y=225 --------(4)
Subtract equation (4) from equation (3) to eliminate x
15x+12y=180
15x+30y=225
-___-___-________
-18y = -45
y=45/18 =2.5
Substituting y in equation (1)
5x+4(2.5)=60
5x+10=60
5x=50
x=50/5 = 10
Price of mini golf =$2.5
Price of batting cage =$10.00
The equations can prepare using the statement of the question. The price for each game can be calculated using the generated algebraic equations.
The equation are 5x+4y=60 and 3x+6y=45 respectively.
Given:
The cost for 5 rounds of mini golf and 4 turns in batting is 60 dollars.
The cost for 3 rounds of mini golf and 6 turns in cage is 60 dollars.
Let the price of mini golf be [tex]x[/tex] and price of batting cage be [tex]y[/tex].
Sylvester price for 5 rounds of mini golf is [tex]5x[/tex].
Sylvester price for 4 rounds of batting cage is [tex]4y[/tex].
Write the algebraic equation for total cost.
[tex]5x+4y=60[/tex]------------------------------------(1)
Lin price for 3 rounds of mini golf is [tex]3x[/tex].
Lin price for 6 rounds of batting cage is [tex]6y[/tex].
Write the algebraic equation for total cost.
[tex]3x+6y=45[/tex]------------------------------------(2)
Multiply the equation (1) by 3.
[tex]15x + 12y =180[/tex]
Multiply the equation (2) by 5.
[tex]15x +30y=225[/tex]
Now solve the above two equation for [tex]x[/tex] and [tex]y[/tex].
[tex]y=2.5\\x=10[/tex]
Thus, the equation are 5x+4y=60 and 3x+6y=45 respectively.
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