# john receives a $25 gift card to the theater. It cost 6.50 for shows before 4:00 and $9.75 for shows after 4:00. What is the equation that gives the balance remaining, b, on the gift card if John...

john receives a $25 gift card to the theater. It cost 6.50 for shows before 4:00 and $9.75 for shows after 4:00.

What is the equation that gives the balance remaining, b, on the gift card if John see ,m, movies after 4 o'clock?

What is the equation if John and his two friends go after 4 o'clock, showing if they have to pay out-of-pocket?

What is the equation showing how much they save by going to a 2 o'clock showing?

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### 2 Answers

John receives a $25 gift card to the theater. It cost $6.50 for shows before 4:00 and $9.75 for shows after 4:00.

If John sees the movie after 4:00, the equation that gives the balance remaining is R = $25 - x*9.75 where R is the balance remaining and x is the number of shows seen.

If John goes with two of his friends for x number of shows, the total amount spent is given by 3*x*9.75. If john uses the $25 gift card, the amount to be paid out of pocket is A = 3*x*9.75 - 25

If the three see the 2:00 show the amount saved is given by S = 3*(9.75 - 6.5)

Balance= b

One person goes to movie and pays price m.

m= $6.50 if John goes before 4 o'clock

m=$9.75 if John goes after 4 o'clock

1. John goes to movie after 4 o'clock thus,

b=25 -m

But m=9.75

b=25- 9.75

b=$15.25

2. John and his two friends go after 4 o'clock

b=25- 3 x m

But m=9.75

b=25-29.25

b=- 4.25

=> They have to pay out-of-pocket $4.25.

3.The equation

b=25-3xm

But m= 6.50

b=25-3 x 6.50

=25 -19.50

=5.50

They save by going to a 2 o'clock = $ 5.50