SOLUTION: It takes Flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 15 pairs of socks and gloves, how many pairs of each

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: It takes Flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 15 pairs of socks and gloves, how many pairs of each       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 939753: It takes Flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 15 pairs of socks and gloves, how many pairs of each did she knit?
A. 10 pairs of socks and 5 pairs of gloves
B. 12 pairs of socks and 3 pairs of gloves
C. 11 pairs of socks and 4 pairs of gloves
D. 9 pairs of socks and 6 pairs of gloves
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It takes Flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 15 pairs of socks and gloves, how many pairs of each did she knit?
socks rate = 1/3 sock/hr
-----
gloves rate = 1/7 gloves/hr
----------------------------
Equation:
s + g = 15 pairs
(3)s+(7)g = 65 hrs
-----------
3(15-g) + 7g = 65
45-3g+7g = 65
4g = 20
g = 5 (# of pairs of gloves
15-g = 10 (# of pairs of socks)
----
Answer:: A
-------------------
Cheers,
Stan H.
-------------------
A. 10 pairs of socks and 5 pairs of gloves
B. 12 pairs of socks and 3 pairs of gloves
C. 11 pairs of socks and 4 pairs of gloves
D. 9 pairs of socks and 6 pairs of gloves