Pat's stick is 30 inches long. He covers 7 inches of the stick in dirt. The portion that is not covered in dirt is half as long as Sarah's stick. Jane's stick is two feet shorter than Sarah's stick. How many inches long is Jane's stick? Give the rationale and then the answer.
Let's think step by step. 30 - 7 = 23 inches of Pat's stick is not covered in dirt. Sarah's stick is 23 * 2 = 46 inches long. Jane's stick is 12 * 2 = 24 inches shorter than Sarah's stick. Jane's stick is 46 - 24 = 22 inches long.. The answer is: 22.

Carl is figuring out how much he'll need to spend on gas for his upcoming road trip to the Grand Canyon. His car gets 30 miles per gallon in cities and 40 miles per gallon on the highway. The distance from his house to the Grand Canyon, one way, is 60 city miles and 200 highway miles. If gas costs $3.00 per gallon, how much will Carl need to spend? Give the rationale and then the answer.
Let's think step by step. First figure out how many city miles Carl will drive round trip by multiplying the one - way number of city miles by 2: 60 miles * 2 = 120 miles. Then figure out how many highway miles Carl will drive round trip by multiplying the one - way number of highway miles by 2: 200 miles * 2 = 400 miles. Now divide the round - trip number of city miles by the number of city miles per gallon Carl's car gets: 120 miles / 30 mpg = 4 gallons. Now divide the round - trip number of highway miles by the number of highway miles per gallon Carl's car gets: 400 miles / 40 mpg = 10 gallons. Now add the gallons for the highway miles and the city miles to find the total number of gallons Carl needs to buy: 10 gallons + 4 gallons = 14 gallons. Finally, multiply the number of gallons Carl needs to buy by the cost per gallon to find out how much he spends: 14 gallons * $3.00 = $42.00.. The answer is: 42.

Marcus is having a water balloon party. He has 100 balloons. Each balloon holds 3 ounces of water. He can buy 50 ounces of water for $2.5 a bottle. If he walks into the store with 2 $10 bills, how much change will he have after he buys all the water he needs? Give the rationale and then the answer.
Let's think step by step. He will need 300 ounces of water because 100 x 3 = 300. He will need 6 bottles because 300 / 50 = 6. This will cost $15 because 6 x 2.5 = 15. He has $20 because 2 x 10 = 20. He will get $5 in change because 20 - 15 = 5.. The answer is: 5.