SAT Question

Question

Shawna is at a state fair. She currently has enough money to ride the Berserker 20 times. if the cost to ride the berserker was 25 cents less, Shawna could ride it 10 more times. How much money does shawna have?

Answer 1

Beatriz,

 

Let the cost to ride Berserker be x cents

 

Shawna has 20*x cents

 

If cost to ride was (x-25) Shawna could ride 30 times

 

So the money she has is also (x-25)*30

 

20x = (x-25)*30

2x = 3x -75

x = 75

 

So ride costs 75 cents and Shawna has 75*20 = 1500 cents or $15 

Answer 2

x=cost to ride 20 times

20x=amount of money Shawna has

x-$0.25=cost to ride 30 times (10 more times)

30(x-$0.25)=amount of money Shawna has

set the amounts equal to each other

20x=30(x-$0.25)

20x=30x-$7.50

$7.50=30x-20x

$7.50=10x

x=$7.50/10

x=$0.75, the cost to ride 20 times

20*$0.75=$15.00 is how much money Shawna has, or...

30*$0.50=$15.00 again