1 / 8

Digit and Coin Problems

Digit and Coin Problems. Systems of Equations Chapter 8. Any two digit number can be expressed as 10x + y. x represents the tens place and y represents the ones place . . 45. x=4 and y=5. 10(4) +(5) =. 45. 71. x=7 and y=1. 10(7) +(1) = . 71. 29. x=2 and y=9.

ivria
Download Presentation

Digit and Coin Problems

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Digit and Coin Problems Systems of Equations Chapter 8

  2. Any two digit number can be expressed as 10x + y x represents the tens place and y represents the ones place. 45 x=4 and y=5 10(4) +(5) = 45 71 x=7 and y=1 10(7) +(1) = 71 29 x=2 and y=9 10(2) +(9) = 29

  3. The sum of the digits of a two digit number is 14. If the digits are reversed, the number is 36 greater than the original number. Find the original number. Let x = tens place y = ones place System of Equations x + y = 14 Equation1 Original Number 9x - y = -36 Equation 2 10x + y Reverse Number Reversed Number = Original Number + 36 10y + x 10y + x = 36 + 10x + y

  4. Coins

  5. Kami has some nickels and some dimes. The value of the coins is $1.65. There are 12 more nickels than dimes. How many of each kind of coin does Kami have? nickels dimes Let n = # of Let d = # of System of Equations 5n + 10d = 165 Value n = d + 12 Quantity

  6. There were 411 people at a play. Admission was $5 for adults and $3.75 for children. The receipts were $1978.75. How many adults and how many children attended? Let a = # of Let c = # of adults children System of Equations a + c = 411 Quantity 5a + 3.75c = 1978.75 Value

  7. Age Problems

  8. Shirley is 21 years older than Laura. In six years, Shirley will be twice as old as Laura. How old are they now? Let x = Shirley’s age Let y= Laura’s age x + 6 = Shirley’s age in six years y + 6 = Laura’s age in six years Shirley in 6 years = 2 (Laura in 6 years) x + 6 = 2 (y + 6) System of Equations x = y + 21 Now x = 2y + 6 In 6 years

More Related