Lina wanted to buy a bag. she saw a red bag on sale at 15% discount and a blue bag at 20% discount. both bags had the same original price before the discounts. to buy the red bag, lina would need $2.50 more than what she had. so lina bought the blue bag. after that, she had $2 left. (a) what was the original price of the red bag? (b) how much money did lina have at first?

a) The original price of the bag was $90

b) Lina was having $74

Step-by-step explanation:

Let the original price of  the bags be 'x'

and,

the money Lina had be 'y'

then according to the question

Price of red bag after 15% discount = x - 0.15x = 0.85x

Price of red bag after 20% discount = x - 0.20x = 0.80x

also,

0.85x = y + $2.5 (1)

0.80x = y - $2  (2)

subtracting the equation (2) from  (1), we get

    0.85x = y + $2.5

- ( 0.80x = y - $2   )

      0.05x = $4.5

or

x = $90

a) The original price of the bag was $90

b) on substituting the value of x in the equation (1), we get

0.85 × 90 = y + $2.5

or

76.5 = y + $2.5

or

y = $74

Hence, Lina was having $74

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

18.75 gallons

step-by-step explanation: