Problema Solution
Thomas has a collection of 25 coins. Some are dimes and some are quarters. If the total value of all the coins is $5.05, how many of each kind of coin are there.
Answer provided by our tutors
1 dime = 10 cents
1 quarter = 25 cents
$5.05 = 505 cents
Let
d = the number of dimes, d>0, d is integer
q = the number of quarters, q>0, q is integer
d + q = 25
10d + 25q = 505
........
click here to see the system of equations solved for d and q
........
d = 8 dimes
q = 17 quarters
There are 8 dimes and 18 quarters.