A rectangle has a length of 15 feet less than 6 times its width. If the area of the rectangle is 561 square feet, find the length of the rectangle.
Find two positive numbers whose difference is 27 and whose product is 2680.
One number is equal to the square of another. Find the numbers if both are positive and their sum is 2450.
Find 2 consecutive even integers, such that their sum is equal to the difference of 3 times the larger and 2 times the smaller.
Peter decides to mix grades of gasoline in his truck. He puts in 5 gallons of regular and 10 gallons of premium for a total cost of $31.05 If premium gasoline costs $0.18 more per gallon than regular, what was the price of each grade of gasoline?
Mark has a total of 41 coins consisting of nickels and quarters the total value of the coins is $4.85. How many of each type of coin does he have?
Admission to a baseball game is $4.50 for general admission and $7.00 for reserve seats. The receipts were $5694 for 1112 paid admissions.How many of each ticket were sold?
A researcher has a testing pot used for testing seeds. The perimeter of the plot is 322m. The length of the plot is 25m more than the width. Find the dimensions of the plot.
Daniel is 28 years younger than Kevin. Kevin and Daniel first met 3 years ago. Eight years ago, Kevin was 5 times as old as Daniel. How old is Daniel now?
When 23 is added to a number, 99 is the result. What is the number?