Word Problems

1. Four consecutive odd integers equal 48. What are those integers?  answer
   
   
2. How many liters of pure water must be mixed with a 4 liter mixture of 25% antifreeze to produce a 23% mixture?  answer
   


3. A rectangle field's lenght is 1/4 longer than its width. If the perimeter is 36 meters what is the area?  answer
   


4. The whole sale price is $4,200 and the markup is 37%. Later the whole sale price is reduced by 23%.
   If the markup remains 37% what is the new selling price?  answer
   


5. Your working in a furniture store and your base salary is $1,000 per month plus 6.5% of all sales over
   $3,000. Your monthly family expenses are $1,800 per month. How much in sales must you generate each month to cover your family expenses?  answer



6. You are given a 48 cm square piece of flat cardboard and instructed to make an open box (no top) from the material.
   • Write the function you would use to determine the box's volume.  answer
     
   • What is the function's domain? answer
     
   • If x = 2 what is the volume? answer
     
     
   
   
7. Same as problem 6 but you are given a 36 cm square piece of cardboard.
• What is the function?
• What is the domain?
• What is the volume if x = 3?
answer


8. Two plane leave Sligo Ireland flying at the same time, at right angles, one going east the other south. If one plane is
   flying at a speed of 90 km slower than the other plane and after 2 hours they are 540 km apart
   what is the speed of each plane? answer



9. Two plane leave Sligo Ireland flying at the same time, at right angles, one going east the other south. If one plane is
   flying at a speed of 79 km faster than the other plane and after 3.5 hours they are 940 km apart
   what is the approximate speed of each plane? answer

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