Word Problems — Quiz Answers

Four cups of pure water are added to a 20-cup bowl of punch that is 75% juice. What percentage of the new punch is juice? Original (Cups) Added (Cups) New (Cups) Amount of Juice 15 0 Amount of Punch 20 4

Marina can bicycle 19.5 miles in the same time it takes her to run 6 miles. She bikes 9 miles per hour faster than she runs. At what speed does Marina run? Distance (mi) Rate (mph) Time (hr) Bicycling 19 point 5 r plus g the fraction with numerator 19 point 5 and denominator r plus 9 Running 6 r 6 over r

Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use to find x, the number of gallons of water he should add? Original (Gallons) Added (Gallons) New (Gallons) Amount of Bleach 0 point 8 0 0 point 8 Amount of Solution 8 x 8 plus x

Grant plans to evaporate enough water from 22 gallons of a 16 percent ammonia solution to make a 24 percent ammonia solution. Which equation can he use to find n , the number of gallons of water he should remove?

Kaitlyn can build a shed in 6 days. Mark can build the same shed in 8 days. Which equation can be used to find d, the number of days it would take Kaitlyn and Mark to build the shed together? Rate (Sheds per Day) Time (Days) Fraction Completed Kaitlyn 1 sixth d 1 sixth d Mark 1 eighth d 1 eighth d

Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee 1 over 16 x Genera 1 over 12 x

At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3 hours. Which equation can be used to find t, the time in hours it takes for worker A and worker B to assemble a shelving unit together? Rate (Shelving Units per Hour) Time (Hours) Fraction Completed Worker A 1 fifth t Worker B 1 third t

The table represents Bree’s trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total travel time is 2 hours. Which equation can be used to find the distance in miles from Bree’s house to the library? Distance (mi) Rate (mph) Time (hr) Trip to Library x 6 mph x over 6 Trip to Home x 12 mph x over 12

Bethany can mow her family’s lawn in 4 hours. Her brother Colin can mow the lawn in 3 hours. Which equation can be used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together? Rate (Lawns per Hour) Time (Hours) Fraction Completed Bethany 1 fourth x 1 fourth x Colin 1 third x 1 third x

A boat has a speed of 5 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Using the data in the table, what is the value of c, the speed of the current? Distance (mi) Rate (mph) Time (hr) Upstream 3 times open paren 5 minus c close paren open paren 5 minus c close paren 3 Downstream 2 times open paren 5 plus c close paren open paren 5 plus c close paren 2