SOLUTION: A sum amounting to $3.35 consists of quarters and dimes. If there are 23 coins in all how many are quarters?

Question 570109: A sum amounting to $3.35 consists of quarters and dimes. If there are 23 coins in all how many are quarters?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Total Sum of coins = $3.35
Total Coins = 23
Dimes = x
Quarters = 23-x
Value of a Dime = $0.1
Value of a Quarter =$0.25
(value of a Dime)(Dimes)+(value of a Quarter)(Quarters)=Total Sum of Coins
(0.1)(x)+(0.25)(23-x)=3.35
0.1x+5.75-0.25x=3.35
0.1x-0.25x=3.35-5.75
-0.15x=-2.4
-0.15x/-0.15=-2.4/-0.15
x=16

Dimes = x = 16
Quarters = 23-x = 23-16 = 7
There are 7 Quarters

Check
======
(0.1)(16)+(7)(0.25)=3.35
1.6+1.75=3.35
3.35=3.35

RELATED QUESTIONS
A sum of money amounting to $4.25 consists of dimes and quarters. If there are 23 coins... (answered by josgarithmetic)

A sum of money amounting to $6.10 consists of dimes and quarters. If there are 31 coins... (answered by jorel1380)

A sum of money amounting to $5.50 consists of dimes and quarters. If there are 28 coins... (answered by mananth)

a sum of money amounting to 3.70 consists of dimes and quarters. if there are 19 coins in (answered by JulietG)

a sum of money amounting to 6.15 consists of dimes and quarters. if there are 36 coins in (answered by ewatrrr)

a sum of money amounting to $3.55 consists of dimes and quarters. if there are 25 coins... (answered by WannabeCAgirl83)

the sum of money amounting to $5.90 consist of dimes and quarters . if there are 32 coins (answered by ankor@dixie-net.com)

A sum of money amounting to $5.20 consists of quarters and dimes. If there are 31 coins... (answered by mananth)

A sum of money amounting to $6.20 consists of dimes and quarters. if there are 35 coins... (answered by dfrazzetto)