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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation7.14 Ratio Story Problems

 Example: Two numbers are in the ratio of 2 to 5. Their sum is 70. Find the two numbers. Solution: Let the two numbers be 'x' and 'y'. Given: The ratio of two numbers is 2 to 5 therefore x/y = 2/5 their sum is 70: x + y = 70 solving two equations: x/y = 2/5 => 5x = 2y x + y = 70 substituting x = 2y/5 in x + y = 70 x + y = 70 2y/5 + y = 70 multiply whole equation by 5 2y + 5y = 350 7y = 350 y = 50 x = 70 - y = 70 - 50 = 20 Directions: Choose the correct answer.
 Q 1: Divide 336 into two parts whose ratio is 3 to 4. 134 and 156136 and 200144 and 192 Q 2: A restaurant served 84 dinners one day. For every 5 dinners served, 2 were pasta. How many pasta dinners were served? 626024 Q 3: Two numbers are in the ratio of 3 to 4. Their sum is 105. Find the two numbers. 50 and 3060 and 4545 and 80 Q 4: The length and width of a rectangle are in the ratio of 5 to 4. The perimeter is 36. Find the length and width. length is 10 and width is 8length is 10 and width is 6length is 12 and width is 8 Q 5: The amount Kim spends for food, rent, and clothing are in the ratio 4:10:2. An average of \$2000 per month are spent each month on these three items. What is spent on each item in a month? food=600, rent=1000, cloths=325food=500, rent=1250, cloths=225food=600, rent=1250, cloths=125 Q 6: Ron drives 100 miles in 2 hours. Express the rate of mile to hours as a fraction. 100/22/100 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!