SOLUTION: How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 3 1/2 yards long, and 5 pieces, each 2 1/4 yards long are removed. Can you please show me how

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Question 115255: How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 3 1/2 yards long, and 5 pieces, each 2 1/4 yards long are removed. Can you please show me how to solves these type of questions?
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 3 1/2 yards long, and 5 pieces, each 2 1/4 yards long are removed.
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24-[3*(3 1/2) + 5*(2 1/4)]
= 24 -[3*(7/2) + 5*(9/4)]
= 24 -[(21/2) + (45/4)]
= 24 -[(42/4)+(45/4)]
= 24 -[87/4]
= (96/4)-(87/4)
= 9/4
= 2 1/4 yrds.
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Cheers,
Stan H.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
from a 24yd length
3 pieces , each 3+%281%2F2%29+yd long,
5 pieces, each 2+%281%2F4%29+yd long are removed; therefore, you need to subtract the sum of removed pieces from a 24yd length
and x yards of material will remain
so:
x+=+24yd+-+%283%2A3%281%2F2%29%2B+5%2A2%281%2F4%29yd%29

x+=+24yd+-+%283%287%2F2%29%2B+5%289%2F4%29yd%29

x+=+24yd+-+%2821%2F2%2B+45%2F4%29yd%29

x+=+24yd+-+%2821%2A2%2F%282%2A2%29%2B+45%2F4%29yd%29

x+=+24yd+-+%2842%2F4+%2B+45%2F4%29yd%29

x+=+24yd+-+%28%2842%2B45%29%2F4%29yd%29

x+=+24yd+-+%2887%2F4%29yd%29

x+=+24yd+-+%2821%283%2F4%29yd%29
x+=+2%281%2F4%29yd