Question

Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to rent a lounge chair and an umbrella each during their vacation. Lisa rented the chair and umbrella for 1 day less than Dan. The following equation represents this situation, where x represents the number of days Dan rented the lounge chair and umbrella.

20x + 15x + 20(x − 1) + 15(x − 1) = 245

What is the total amount Dan paid to rent the lounge chair and umbrella during his vacation?

Answer 1

$80

$105

$140

$175

Answer 2

it must ne 140 dollars

Answer 3

Hint:

20(x - 1) = 20x - 20
15(x - 1) = 15x - 15

Answer 4

2nd Hint:

20x + 15x + 20x - 20 + 15x - 15 = 245

Answer 5

3rd Hint:
20x + 15x + 20x + 15x - 20 - 15 = 245
That is
x(20+15+20+15) - (20+15) =245
Can you simplify it and solve for x?

Answer 6

x would be 40.

Answer 7

How did you get your answer?

Answer 8

Hint:

Dan's amount = 20x + 15x
Lisa's amount = 20(x-1) + 15(x-1)

Answer 9

yeah x = 4, sorry

Answer 10

my bad @Castillo

Answer 11

x(20+15+20+15) - (20+15) =245
70x - 35 =245

Add 35 to both sides and you'll get
70x -35 +35 = 245 +35
70x = 280
Then divide both sides by 70
and you'll get x =4

Answer 12

@Callisto , that's what I got as well. I just responded too quickly. I was actually watching 24 season 5 and came here suddenly.

Answer 13

@Hero It's okay
@ohaidarien So you should put x=4 into 20x + 15x to calculate the amount Dan's need to pay

Answer 14

Oh, ok. Thanks, guys. I did get 'x = 4', I just mistyped it. My bad. xD
Thank you, though! I got the answer of 140. :DD