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### Grade 7 - Mathematics6.14 Word Problems - Distance, Money, Fractions

 Steps: 1. Read the problem carefully and note down what is given and what is required. 2.Select a letter say x or y or z to represent the unknown quantity asked for. 3. Represent the word statements of the problems in the symbolic language step by step. 4. Look for quantities which are equal as per conditions given and form an equation. 5. Solve the equation. 6. Verify the result for making sure that your answer satisfies the requirements of the problems. Example: Micheal traveled 5/8 of distance by train, 1/4 by bus and the remaining 15 miles by boat. Find the total distance traveled by him. Solution: Let the total distance traveled by Micheal is = x miles Distance traveled by train = 5x/8 miles Distance traveled by bus = x/4 miles \ Total distance traveled by train and bus in miles = 5x/8 + x/4 = (5x+2x)/8 = 7x/8 Remaining distance in miles = x - 7x/8 miles Þ (8x-7x)/8 = x/8 miles Micheal traveled this distance by boat. \ given that this distance = 15 miles \ x/8 = 15 miles. \ x = 120 miles. \ Total distance traveled by Micheal is 120 miles. Verification: Distance traveled by train = 5x/8 = 5*120/8 miles = 5*15 miles = 75 miles. Distance traveled by bus = x/4 miles = 120/4 miles = 30 miles. \ Distance traveled by boat in miles = 120-(75+30) = 15 miles. \ x = 120 is the solution. Directions: Solve the following word problems. Also write at least ten word problem examples of your own.
 Q 1: Nancy gave 1/4 of her property to a social organization, 1/15 to each of 3 religious trusts, and 1/4 to each of her two sons. The remaining property valued at \$13,000 was donated for construction of a school building. What was the total value of her property?\$260,000\$90,000\$110,000\$160,000 Q 2: 1/5 of a pole is black. 1/4 is white and the remaining three meters is painted yellow. Find the length of the pole.60 meters15 meters16 meters60/11 meters Q 3: George has some buffaloes, cows and goats. He has goats equal to 5/2 times the number of cows and cows equal to 3/2 times the number of buffaloes. If there are 150 animals with George how many of each category has with him.26, 36, 60 respectively26, 46, 50 respectively35, 26, 90 respectively24, 36, 90 respectively Q 4: Three prizes are to be distributed in a quiz so that their total cost is \$ 2,550. The value of the second prize is 3/4 of the first prize and the value of the third prize is 1/2 the value of the first prize. Find the value of each of the three prizes.\$ 1500, \$ 900, and \$ 490 respectively\$ 1200, \$ 950, and \$ 450 respectively\$ 1200, \$ 800, and \$ 400 respectively\$ 1200, \$ 900, and \$ 450 respectively Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!