Isaiah has $3.45 in dimes and quarters. If he has a total of 24 coins, how many dimes does he have? Write and solve a system of equations. a) 17 b) 10 c) 18 d) 12
Mathematics · High School · Thu Feb 04 2021
Answered on
According the question
d = the no. of dimes, and q = the no. of quarters
We know there are 24 coins, so
d + q = 24…… (1)
Now we know each dime is worth .10 and each quarter is worth .25. In total, they are worth 3.75
.10 d +.25 q = 3.45
If you want to get rid of decimals, just multiply both sides by 100.
10 d + 25 q = 345 ……. (2)
d+ q = 24
q =24 - d
q = put in eq…(2)
10 d +25 (24-d) = 345
10d + 600 - 25d = 345
15d = 600-345
d= 255/15
d= 17 (Answer)