SOLUTION: the cost of 4 pairs of shoes and 6 pairs of sneakers is $64. If the price of the shoes were increased by 10% and that of the sneakers by 5%, the total cost would be $69.80. find
Algebra.Com
Question 697602: the cost of 4 pairs of shoes and 6 pairs of sneakers is $64. If the price of the shoes were increased by 10% and that of the sneakers by 5%, the total cost would be $69.80. find the original price of a pair of shoes.
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
Let's set up two equations with x represents the cost of shoes and y represents cost of sneakers:
4x+6y=64
[1.10(4x)+1.05(6y)=69.80]
Multiply the second equation by 100 to get:
110(4x)+105(6y)=6980
Expand this to:
440x+630y=6980
Now take the first equation multiply it by -110 to get:
-440x-660y=-7040
Add this equation to the second to get:
-30y=-60
Divide by -30 to get:
y=2
x=13
So a pair of shoes cost $13, pretty cheap, huh?
Make sense?
RJ
www.math-unlock.com
RELATED QUESTIONS
A shoe store bought 225 pairs of shoes for $15750. Twenty five pairs were sold at markup... (answered by richwmiller)
A shoe store sold 340 pairs of shoes in one day. The number of pairs of athletic shoes... (answered by stanbon)
a shoe store sold 340 pairs of shoes in one day. The number of pairs of athletic shoes... (answered by nyc_function)
The cost of a pair of shoes is 10 times the cost of a pair of socks plus $2.
Write two... (answered by MathLover1)
A shoe store makes $2880 during a one day sale. Men's shoes cost $24 per pair and womens... (answered by ankor@dixie-net.com)
Two pairs of shoes and four pairs of socks cost $109, and three pairs of shoes and five... (answered by TimothyLamb)
Carla, Beth, and Heidi went on a shopping spree to get ready for college. Carla bought 3 (answered by TimothyLamb)
Kiking shoes sell sneakers on Saturdays they sold 37 pairs of sneakers using the area... (answered by stanbon)
A shoe store makes $2880 during a one day sale. Men's shoes cost $24 per pair and womens... (answered by checkley77)