SOLUTION: A shirt costs rupees 12 more than a belt.The total cost of a 2 such shirts and 5 such belts was rupees 164.What was the cos of a belt.

Algebra.Com
Question 1058986: A shirt costs rupees 12 more than a belt.The total cost of a 2 such shirts and 5 such belts was rupees 164.What was the cos of a belt.
Answer by ikleyn(52810)   (Show Source): You can put this solution on YOUR website!
.
A shirt costs rupees 12 more than a belt.The total cost of a 2 such shirts and 5 such belts was rupees 164.What was the cos of a belt.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 S -  B =  12,     (1)   ("A shirt costs rupees 12 more than a belt.")
2S + 5B = 164.     (2)   ("The total cost of a 2 such shirts and 5 such belts was rupees 164.")


To solve the system, multiply the equation (1) by 5 (both sides) and add to the equation (2). You will get

5S + 2S = 60 + 164,

7S = 224  --->  S =  = 32.

Can you complete the solution from this point on your own?


RELATED QUESTIONS

a boy contains rupees 1 coins and rupees 2 coins whose total value is rupees 70 if the... (answered by Boreal,greenestamps)
sashi started a business investing rupees 75,000.After 3 months,sikha joined with a... (answered by mananth)
The price of a shirt is reduced by 7% to rupees 465. What is its original price? (Ans.... (answered by Theo)
the total cost of 5 dresses and three purse is rupees 7100. the total cost of 2 dresses... (answered by sachi)
A purse contains rupees 5 coins and some rupees 10 coins. If the total no of these coins... (answered by richwmiller)
a sweater cost $12 more than a shirt. Together they cost $46. What was the price of the (answered by tutorcecilia)
if a man brought 5 shirts for $36 and two of the shirts were three times more. How much... (answered by Alan3354)
A shop owner paid a total of $2385 for some shirts and ties. Each shirt cost $14 less... (answered by ikleyn,Theo,greenestamps)
Altogether Mary spent $52 for 2 shirts. The difference between the costs of the shirts... (answered by fcabanski)