Here is a problem...
I hope somebody can help me...
A clothing designer buys cloth in boltd of 10 yards each.
For the first 100 yards purchased, the cost is $6.00 per yard. For the next 100 yards purchased, the cost decreases to $5.00 per yard. For all cloth purchased after 200 yards, the cost decreases to $4.00 per yard.
How many bolts of cloth does the clothing designer buy in order X?
1) In order X, the clothing designer spends a total of $1,420
2) In order X, the clothing designer spends $320 on the cloth that costs $4.00 per yard.
Thanks in advance
clothing design problem
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Statement 1:
Assume Z is number of yards of cloth
1420 = 100*6 + 100*5 + (Z-200)*4
This is an equation with one unknown. You can solve for Z and divide by 10 to arrive at the bolts of cloth. So, this statement is sufficient.
For clarity, here is the actual solution:
1420 = 100*6 + 100*5 + (Z-200)*4
1420 = 600 + 500 + 4Z – 800
1420 = 300 + 4Z
1120 = 4Z
Z = 280
# of Bolts = Z / 10 = 28
Statement 2:
Assume Y is the number of yards of cloth that costs 4$
320 = 4Y
Y = 80
We know from the question stem that in order to be eligible to purchase the 4$ cloth, the designer had to purchase 100 yards of the 6$ cloth and 100 yards of the 5$ cloth. This means that a total of 280 yards of cloth were purchased.
This puts us right to the end of our calculations from statement 1.
Z = 280
# of Bolts = Z / 10 = 28
This statement is also sufficient.
Since both statements are sufficient, the answer is D
Note that for DS you don’t need to calculate the entire solution. As soon as you’re comfortable that the information you have is sufficient (or insufficient) you can stop calculating.
Assume Z is number of yards of cloth
1420 = 100*6 + 100*5 + (Z-200)*4
This is an equation with one unknown. You can solve for Z and divide by 10 to arrive at the bolts of cloth. So, this statement is sufficient.
For clarity, here is the actual solution:
1420 = 100*6 + 100*5 + (Z-200)*4
1420 = 600 + 500 + 4Z – 800
1420 = 300 + 4Z
1120 = 4Z
Z = 280
# of Bolts = Z / 10 = 28
Statement 2:
Assume Y is the number of yards of cloth that costs 4$
320 = 4Y
Y = 80
We know from the question stem that in order to be eligible to purchase the 4$ cloth, the designer had to purchase 100 yards of the 6$ cloth and 100 yards of the 5$ cloth. This means that a total of 280 yards of cloth were purchased.
This puts us right to the end of our calculations from statement 1.
Z = 280
# of Bolts = Z / 10 = 28
This statement is also sufficient.
Since both statements are sufficient, the answer is D
Note that for DS you don’t need to calculate the entire solution. As soon as you’re comfortable that the information you have is sufficient (or insufficient) you can stop calculating.