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Chapter 9 - XYZ Custom Plus

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9.5 Problem Set<br />

557<br />

Coin Problems<br />

37. Mary has $2.20 in dimes and nickels. If she has 10<br />

more dimes than nickels, how many of each coin does<br />

she have?<br />

38. Bob has $1.65 in dimes and nickels. If he has 9 more<br />

nickels than dimes, how many of each coin does he<br />

have?<br />

39. Suppose you have $9.60 in dimes and quarters. How<br />

many of each coin do you have if you have twice as<br />

many quarters as dimes?<br />

40. A collection of dimes and quarters has a total value of<br />

$2.75. If there are 3 times as many dimes as quarters,<br />

how many of each coin is in the collection?<br />

Miscellaneous Problems<br />

41. Magic Square The sum of the numbers in each row,<br />

each column, and each diagonal of the square below is<br />

15. Use this fact, along with the information in the first<br />

column of the square, to write an equation containing<br />

the variable x, then solve the equation to find x. Next,<br />

write and solve equations that will give you y and z.<br />

x 1 y<br />

3 5 7<br />

4 z 2<br />

42. Magic Square The sum of the numbers in each row,<br />

each column, and each diagonal of the square below is<br />

3. Use this fact, along with the information in the second<br />

row of the square, to write an equation containing<br />

the variable a, then solve the equation to find a. Next,<br />

write and solve an equation that will allow you to find<br />

the value of b. Next, write and solve equations that will<br />

give you c and d.<br />

4 d b<br />

a 1 3<br />

0 c 22<br />

43. Wages JoAnn works in the publicity office at the state<br />

university. She is paid $14 an hour for the first 35 hours<br />

she works each week and $21 an hour for every hour<br />

after that. If she makes $574 one week, how many<br />

hours did she work?<br />

44. Ticket Sales Stacey is selling tickets to the school play.<br />

The tickets are $6 for adults and $4 for children. She<br />

sells twice as many adult tickets as children’s tickets<br />

and brings in a total of $112. How many of each kind of<br />

ticket did she sell?<br />

45. Cars The chart shows the fastest cars in America. The<br />

maximum speed of an Evans 487 is twice the sum of<br />

the speed of a trucker and 45 miles per hour. What is<br />

the speed of the trucker?<br />

46. Skyscrapers The chart shows the heights of the three<br />

tallest buildings in the world. The Sears Tower is 80<br />

feet less than 5 times the height of the Statue of Liberty.<br />

What is the height of the Statue of Liberty?<br />

Ready for the Races<br />

Ford GT 205 mph<br />

Evans 487 210 mph<br />

Saleen S7 Twin Turbo 260 mph<br />

SSC Ultimate Aero 273 mph<br />

Such Great Heights<br />

Taipei 101<br />

Taipei, Taiwan<br />

Petronas Tower 1 & 2<br />

Kuala Lumpur, Malaysia<br />

1,483 ft<br />

1,670 ft Sears Tower<br />

Chicago, USA<br />

1,450 ft<br />

Source: Forbes.com<br />

Source: www.tenmojo.com

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