SOLUTION: the sum of money amounting to $5.90 consist of dimes and quarters . if there are 32 coins in all , how many are quarters ?
Algebra.Com
Question 766910: the sum of money amounting to $5.90 consist of dimes and quarters . if there are 32 coins in all , how many are quarters ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the sum of money amounting to $5.90 consist of dimes and quarters.
.10d + .25q = 5.90
:
if there are 32 coins in all
d + q = 32
d = (32-q)
:
Replace d with (32-q) in the 1st equation
.10(32-q) + .25q = 5.90
3.2 - .10q + .25q = 5.90
.15q = 5.9 - 3.2
.15q = 2.7
q = 2.7/.15
q = 18 quarters
:
:
Check this (d=14)
.10(14) + .25(18) =
1.40 + 4.50 = 5.90
RELATED QUESTIONS
Translate the problem into a pair of linear equations in two variables.
A sum of money (answered by checkley77)
Translate the problem into a pair of linear equations in two variables.
A sum of... (answered by scott8148)
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 $4.25 consists of dimes and quarters. If there are 23 coins... (answered by josgarithmetic)
a sum of money amounting to $3.55 consists of dimes and quarters. if there are 25 coins... (answered by WannabeCAgirl83)
A sum amounting to $3.35 consists of quarters and dimes. If there are 23 coins in all how (answered by Maths68)