Ask Question
19 October, 22:33

In a collection of nickels, dimes, and quarters worth $6.90, the ratio of the number of nickels to dimes is 3:8. The ratio of the number of dimes to quarters is 4:5. Find the number of each type of coin.

+4
Answers (1)
  1. 19 October, 22:45
    0
    N=number of nickels

    d=number of dimes

    q=number of quarters

    example

    if n:d=3:8

    lets say n=3 and d=8

    3*8=8*3

    so

    8n=3d

    slightly confusing but go with it, it migh make sense or it might not

    n:d=3:8

    8n=3d

    d:q=4:5

    5d=4q

    solve for one of them

    solve for nickels in first and quarters in second

    8n=3d, n = (3/8) d

    5d=4q, (4/5) d=q

    5n+10d+25q=690

    divide by 5 to make it easeir

    n+2d+4q=138

    sub (3/8) d for n

    sub (4/5) d for q

    (3/8) d+2d+5 (5/4) d=138

    (3/8) d+2d+25/4d=138

    3/8+2+25/4=

    3/8+16/2+50/8=

    69/8

    (69/8) d=138

    times both sides by 8

    69d=1104

    divide both sides by 69

    d=16

    16 dimes

    sub back

    (5/4) d=q

    (5/4) 16=q

    80/4=q

    20=q

    (3/8) d=n

    (3/8) 16=n

    48/8=n

    6=n

    6 nickles

    16 dimes

    20 quarters

    yah
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “In a collection of nickels, dimes, and quarters worth $6.90, the ratio of the number of nickels to dimes is 3:8. The ratio of the number of ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers