Question

joanna has 7 rolls of coins worth 23 dollars. She has rolls of dimes worth 5 dollars each, and rolls of nicklets worth 2 dollars each.
how many rolls of each kind does she have?

Answers

  1. If  She has rolls of dimes worth 5 dollars each, and rolls of nicklets worth 2 dollars each. how many rolls of each kind does she have is: 3 rolls of dimes and 4 rolls of nickels​

    Number of rolls of dimes and nickels

    Number of rolls of dimes = x
    Number of rolls of nickels = y
    Total number of rolls = 7
    x + y = 7 …… Equation 1
    Total amount = $ 23
    5x + 2y = 23 ——– Equation 2
    Solving the two equation
    x + y = 7
    x=7-y
    Substitute into equation 2
    5x + 2y = 23
    5(7-y)+2y=23
    35-5y+2y=23
    Collect like terms
    -3y=23-35
    -3y=-12
    Divide both side by -3y
    y=-12/-3
    y=4 nickels
    Substitution
    x+y=7
    Where y=4
    x+4=7
    x=7-4
    x=3 dimes
    Therefore If  She has rolls of dimes worth 5 dollars each, and rolls of nicklets worth 2 dollars each. how many rolls of each kind does she have is: 3 rolls of dimes and 4 rolls of nickels​
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