Question 1205125: For a school's cultural day competition, every participant buys the same clothing material from the school at a fixed price. The school's seamstress charges according to the time taken to see. The cost of dress that takes 4 hours and 7 hours to sew is ₦9,750 and ₦15,000 respectively.
(a) Calculate the fixed price?
(b) How much does the seamstress charge per hour?
(c) How much does it cost to make a dress that takes 11 hours to sew?
(d) How long does it take the seamstress to make a dress that ₦16,750?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let the cost of the dress be equal to c.
let the cost per hour be equal to x.
you have two equations that need to be solved simultaneously.
they are:
c + 4x = 9750
c + 7x = 15000
subtract the first equation from the second to get 3x = 5250.
solve for x to get x = 5250 / 3 = 1750.
solve for c in the first equation to get c = 9750 - 4*1750 = 2750.
solve for c in the second equation to get c = 15000 - 7*1750 = 2750.
the cost of the material for each dress is 2750.
the difference in price is the cost of sewing.
answers to your questions are blow:
(a) Calculate the fixed price?
the fixed price is 2750 per dress.
(b) How much does the seamstress charge per hour?
the seamstress charges 1750 per hour.
(c) How much does it cost to make a dress that takes 11 hours to sew?
2750 + 11 * 1750 = 22000.
(d) How long does it take the seamstress to make a dress that ₦16,750?
let h = the number of hours to make the dress.
your equation becomes 2750 + 1750 * h = 16750
solve for h to get h = (16750 - 2750) / 1750 = 8.
the number of hours to make the dress is 8.
2750 + 1750 * 8 = 16750
this confirms the number of hours is correct.
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