Answer this question:Liz sold her car at 80% of what she originally paid. She uses the proceeds of that sale and needs only $4,000 to buy herself a new $30,000 car. How much cheaper is her new car versus what she originally paid for her old one?
If Liz needs only $4,000 to buy a new $30,000 car, that means she has $30,000 - $4,000 = $26,000 from the proceeds of selling her old car. If she sold her car at 80% of what she originally paid for and sold it for $26,000 then she originally paid $26,000 / 80% = $32,500 for her old car. If she paid $32,500 for her old car and the new one is $30,000 then, the new one is $32,500 - $30,000 = $2,500 cheaper.
The answer is 2500.

Answer this question:A cup of dog food weighs 1/4 of a pound. If Mike has 2 dogs that each eat 6 cups of dog food twice a day how many 20 pound bags of dog food does he need to buy a month?
Each dog eats 6 * 2 = 12 cups of food a day. His two dogs eat 12 * 2 = 24 cups a day. Thus they eat 24 / 4 = 6 pounds a day. So they eat 6 * 30 = 180 pounds a month. So he needs to buy 180 / 20 = 9 bags of food.
The answer is 9.

Answer this question:Mary is writing a story, and wants her 60 characters to be split according to their initials. Half of her characters have the initial A, and half of this amount have the initial C. Mary wants the rest of her characters to have the initials D and E, but she wants there to be twice as many characters with the initial D as there are characters with the initial E. How many of Mary’s characters have the initial D?
Half the characters have the initial A, which is a total of 60 / 2 = 30 characters. This means that 30 / 2 = 15 characters have the initial C. Mary wants the remaining 60 – 30 – 15 = 15 characters to have the initials D or E. For there to be twice as many characters with the initial D, the characters are divided into 2 + 1 = 3 parts. Dividing by this means there are 15 / 3 = 5 characters with the initial E. This leaves 15 – 5 = 10 characters with the initial D.
The answer is 10.

Answer this question:Darcie is 4 years old. She is 1/6 as old as her mother and her mother is 4/5 as old as her father. How old is her father?
Darcie's mother is 4 * 6 = 24 years old. Darcie's father is 24 / 4 * 5 = 30 years old.
The answer is 30.