Ask Question
13 July, 19:45

Megan has $1.10 in dimes nickels and pennies she has three times as many nickels as pennies and the number of Dimes is two less than the number of pennies. How many dimes nickels and pennies does she have?

+5
Answers (1)
  1. 13 July, 20:55
    0
    dimes-3

    nickels-15

    pennies-5

    Explanation: let the number of penny (p) = x

    Therefore,

    Nickels which is 3 times as many as pennies;

    Nickel (n) = 3x

    Dimes is 2 less than pennies

    Dime (d) = x - 2

    Total worth of dimes, nickel and pennies = $1.10

    Using the relation:

    1 dime is worth 10 cent

    1 penny worth 1 cent

    1 nickel worth 5 cent

    10d + 5n + p

    Mathematically,

    $1.10 = 110 cent

    10d + 5n + p = 110

    Substituting the value of p, n and d into the relation

    10 (x-2) + 5 (3x) + x = 110

    10x - 20 + 15x + x = 110

    26x - 20 = 110

    26x = 130

    x = 5

    Therefore,

    x = penny = 5

    x - 2 = dime = 5-2 = 3

    3x = nickel = 3*5 = 15
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Megan has $1.10 in dimes nickels and pennies she has three times as many nickels as pennies and the number of Dimes is two less than the ...” in 📘 English if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers