[Question]Matt can paint a house in 12 hours. Patty can paint the same house in one third the time. Rachel can paint the same house in 5 more than double the amount of hours as Patty. How long will it take Rachel to paint the house?
[Answer]Patty: 12 / 3 = 4 hours. Rachel: 5 + 2(4) = 13 hours. The answer is 13.
Q: Edmund is buying a new computer and needs to save up $75 before he has enough. He convinces his parents to pay him for extra chores. He normally has to do 12 chores a week. His parents agree to pay him $2 for every extra chore he does during the week. If he does 4 chores a day for two weeks, how much does he earn?
A: In two weeks, he has to do 24 chores because 2 x 12 = 24. He now does 28 chores a week because 7 x 4 = 28. He does 56 chores in two weeks because 2 x 28 = 56. He has done 32 extra chores because 56 - 24 = 32. He earns $64 because 2 x 32 = 64. The answer is 64.
Question: Everett built a rectangular concrete patio that was four times as long as it was wide. If the perimeter of the patio was 100 feet, what was the length of the patio, in feet?
Answer: Let's make "x" be the width of the patio. Then the length of the patio would be 4 * x. And the perimeter of the patio would be the sum of all four sides, or x + (4 * x) + x + (4 * x) = 100 feet. This simplifies to 10x = 100 feet. And the width of the patio x = 10 feet. And the length of the patio is 4 * x = 4 * 10 = 40 feet. The answer is 40.
[Question]Annie has 6 barrettes, twice as many scrunchies as barrettes, and three fewer bobby pins than barrettes. What percentage of her hair decorations are bobby pins, rounded to the nearest percent?
[Answer]First find the total number of scrunchies: 6 barrettes * 2 = 12 scrunchies. Then subtract three fewer bobby pins than barrettes 6 - 3 = 3 bobby pins. Then add the number of each type of hair decorations to find the total number: 6 decorations + 12 decorations + 3 decorations = 21 decorations. Then divide the number of bobby pins by the total number of decorations and multiply by 100% to express the answer as a percentage: 3 bobby pins / 21 decorations * 100% = 14.28 which rounds down to 14%. The answer is 14.
Q: A pen and pencil have a total cost of $6. If the pen costs twice as much as the pencil, what is the cost of the pen?
A: Let x be the cost of the pencil. If the pen costs 2 times the cost of the pencil, then it costs 2x. Adding the cost of the pen and pencil we get 2x + x = 3x. Since the total cost is $6 then 3x = $6 therefore x = $6 / 3 = $2. One pen is equal to 2 * x which is 2 * $2 = $4. The answer is 4.
Question: Joan has 2 hours to get all her music practice done. She spends 30 minutes on the piano, 25 minutes writing music on her computer, and 38 minutes reading about the history of the piano. Her final work is to use a special finger exerciser. How much time does she have left to use this?
Answer:
She has 120 minutes to practice because 2 x 60 = 120. She has already spent 93 minutes on her work because 30 + 25 + 38 = 93. She has 27 minutes to use on finger exercise because 120 - 93 = 27. The answer is 27.