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Section 3.4. Applications. Example 1. A coin bank holds nickels, dimes, and quarters. There are 45 coins in the bank and the value of the coins is $4.75. If there are five more nickels than quarters, find the number of each type of coin in the bank . N = # of nickels D = # of dimes

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Section 3 4
Section 3.4

Applications


Example 1
Example 1

  • A coin bank holds nickels, dimes, and quarters. There are 45 coins in the bank and the value of the coins is $4.75. If there are five more nickels than quarters, find the number of each type of coin in the bank.


  • N = # of nickels

  • D = # of dimes

  • Q = # of quarters

  • We will use substitution to solve the 1st part of this problem.



Example 2
Example 2

  • John invested $6500 in three different mutual funds for one year. He earned a total of $560 in simple interest on the three investments. The first fund paid 5% interest, and the second fund paid 8% interest, and the third fund paid 10% interest. If the sum of the first two investments was $500 less than the amount of the third investment, find the amount he invested at each rate.


  • x = amount invested in 5% fund

  • y = amount invested in 8% fund

  • z = amount invested in 10% fund



Example 3
Example 3

  • The sum of the digits of a three digit number is 12. Five times the units digit plus 6 times the tens digit is 28. If 2 times the tens digit is subtracted from 3 times the hundreds digit, the result is 15. Find the number.


  • U = the units digit

  • T = the tens digit

  • H = the hundred digit



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