Quiz #2-Application of Systems

The perimeter of a rectangle is 66 inches.  The length is 13 inches longer than the width.  What two equations represent the rectangle?

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all.  Upon completing the job he counted out the coins and it came to $6.60.  Which system of equations could be used to find the exact number of dimes and nickels? 

• d + n = 6.60
  .10d + .05n = 80
• d + n = 80
  d + n = 6.60
• d + n = 80
  .10d + .05n = 6.60
• d + n = 80
  .05d + .10n = 6.60

Bob has 60 coins consisting of quarters and dimes. The coins combined values is $13.35. How many of each coin does Bob have?

• 37 quarters, 23 dimes

• 11 quarters, 49 dimes

• 45 quarters, 15 dimes

• 49 quarters, 11 dimes

Jim runs a food cart and during a busy outdoor festival he sold $7343.75 worth of food. He dells hot dogs for $2.95 and steak sandwiches for $9.95. If he sold a total of 985 items that day, how many of each item did he sell?

• 450 hot dogs, 535 steak sandwiches

• 634 hot dogs, 351 steak sandwiches

• 351 hot dogs, 634 steak sandwiches

• 535 hot dogs, 450 steak sandwiches

A movie theater charges $10 for each adult ticket and $5 for each child ticket. At a showing where 150 tickets were sold, the theater collected $1200. How many child and adult tickets were sold?

• There were 40 adult tickets and 50 child tickets sold.

• There were 60 adult tickets and 90 child tickets sold.

• There were 50 adult tickets and 40 child tickets sold.

• There were 90 adult tickets and 60 child tickets sold.

Bryan wants to make a 12-pound mixture of peanuts and cashews. Peanuts cost $4 per pound and cashews cost $8 per pound. How many pounds of peanuts must be used in a mixture that will cost $5 per pound?

Bryan will use _________ pounds of peanuts in the mixture.

Gael invests part of his $10,000 inheritance at 7% simple interest and the rest at 9% simple interest. If the total annual return on his investment was $840, how much did he invest at each rate?

Gael invested $_______ at 7% and $_______ at 9% simple interest.

The sum of two numbers is 24. One is 6 less than twice the other. Find the two numbers.

The to numbers are _____ and _____.