Problem Solving Set 2
1.
Name: ______________________
6 consecutive multiples of 5 add up to 765. What is the largest number?
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2. A rectangle’s length is 6 times its width. If its perimeter is 126 feet, what is the length of the rectangle?
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3. If Kate triples her height, she will be as tall as if she added 147.5 inches to her height. How tall is Kate?
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4. Nathan and Marissa each worked the same number of hours last week. Nathan is paid $8 per hour plus a
weekly bonus of $33 while Marissa is paid $9 per hour with no bonus. If they worked an equal number of hours
and were paid an equal amount of money last week, how many hours did they each work?
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5. One side of a triangle is 5 inches shorter than the second side which is 3 inches shorter than the longest side. If
the perimeter of the triangle is 31 inches, how long is the shortest side?
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6. A rental company charges $20 per day for a garden tiller plus an additional $0.20 for each minute the tiller is
used. If the total cost of the rental is $47.60, how many minutes was the tiller used?
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7. Bank A charges $5 per month for a checking account plus $0.20 for each check written. Bank B charges $20
monthly fee for a checking account, but has no charge for writing checks. How many checks must you write
each month to make Bank B the better choice?
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8. A small rock band made 2000 copies of a CD that contained their most popular songs. If the CDs cost $7500 to
make and they sell the CDs for $12 each, how many CDs will they have to sell to break even (meaning no profit
and no loss)?
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9. A rectangle with a perimeter of 58 inches is 7 inches longer than it is wide. How wide is the rectangle?
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10. The largest angle in a triangle is 6 times the size of the smallest angle. The remaining angle is twice as large as
the smallest angle. What is the size of the smallest angle?
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