Homework Answers

Determine the number of distinguishable permutations of the letters ELEMENT. *

A.140

B.340

C.640

D.840

A, B, and C are on a betting game. B loses P350 of his money to A. As a result, A now has twice as much as what is left with B. Then, C loses P700 to B. As a consequence, C now has only one-third as much money as B would then have. If A loses P210 to C, C will have as much money as A would have left. How much did each have at the start?

John can walk 4 miles in the same time it takes Paul to walk 5 miles. John, however, requires 3 mins. Longer time than Paul to walk a mile. Find their rates.

A weight A lbs. on one side of a beam balances a weight of 40 lbs. placed 6ft from the fulcrum on the other side. If the unknown weight is moved 3ft nearer the fulcrum, it balances a weight of 20lbs placed ft from 7 1/2 the fulcrum. Find the unknown weight and its distance from the fulcrum in the first instance. (Neglect the weight of the beam.)

If the numerator of a fraction is doubled and the denominator is increased by 7, the value becomes 2/3; but if the denominator is doubled and the numerator is increased by 2, the value becomes 3/5. What is the original fraction?

A and B are running on a track having 8 laps to mile. If they run in opposite directions, they meet every 20 seconds. If they run in the same direction, it requires 3 minutes for A to overtake B. Find the rate of each in feet per second.

How much copper and how much magnesium should be added to 200lbs of an alloy containing 20% copper and 40% magnesium to produce an alloy containing 24% copper and 50% magnesium?

The sum of the digits of a three-digit number is 11. If the first and last digits are interchanged, the new number is greater than the original number by 594. If the tens and the units digits are interchanged, the resulting number is greater than the original by 36. Find the original number.

A man wishes to fence in a rectangular lot. If he uses material costing P17/meter for the front of the lot and material costing P14/meter for the other three sides, the fence will cost P8,900. If he uses the cheaper material for all four sides, the fence will cost P8,540. Find the dimensions of the lot.

A man rows 12 miles downstream on a river in 2 hrs. He requires another 3 hrs. to row back to his starting position. Find the speed of the current and the rate the man can row in still water.