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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: 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.15 meters60/11 meters16 meters60 meters Q 2: George left 1/3 of his property to his son, 1/4 to his daughter and the remaining to his wife. If the wife's share was \$40,000. Find the total value of his property.\$86,000\$200,000\$96,000\$110,000 Q 3: There are some lotus flowers in a garden and some bees are hovering around. If one bee lands on each flower, one bee will be left. If two bees land on each flower, one flower will be left. Find the number of bees and the number of flower in the garden.5 and 9 respectively5 and 7 respectively3 and 4 respectively5 and 6 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.\$ 1200, \$ 900, and \$ 450 respectively\$ 1500, \$ 900, and \$ 490 respectively\$ 1200, \$ 800, and \$ 400 respectively\$ 1200, \$ 950, and \$ 450 respectively Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!