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Answer :
Certainly! Let's solve this problem step by step:
1. Understand the Total Length:
The total length of the sidewalk is given as [tex]\( 20 \frac{1}{2} \)[/tex] yards. In decimal form, this is [tex]\( 20.5 \)[/tex] yards.
2. Calculate the Portion Shoveled Before Breakfast:
Before breakfast, Zeke shovels [tex]\( \frac{1}{4} \)[/tex] of the sidewalk. To find out how many yards that is, multiply the total length of the sidewalk by [tex]\( \frac{1}{4} \)[/tex]:
[tex]\[
\text{Length shoveled before breakfast} = 20.5 \times \frac{1}{4} = 5.125 \text{ yards}
\][/tex]
3. Determine the Remaining Length to Shovel:
After breakfast, Zeke still needs to shovel the portion of the sidewalk that wasn't done before breakfast. Subtract the amount shoveled from the total length:
[tex]\[
\text{Yards left to shovel} = 20.5 - 5.125 = 15.375 \text{ yards}
\][/tex]
So, Zeke has 15.375 yards left to shovel after breakfast.
1. Understand the Total Length:
The total length of the sidewalk is given as [tex]\( 20 \frac{1}{2} \)[/tex] yards. In decimal form, this is [tex]\( 20.5 \)[/tex] yards.
2. Calculate the Portion Shoveled Before Breakfast:
Before breakfast, Zeke shovels [tex]\( \frac{1}{4} \)[/tex] of the sidewalk. To find out how many yards that is, multiply the total length of the sidewalk by [tex]\( \frac{1}{4} \)[/tex]:
[tex]\[
\text{Length shoveled before breakfast} = 20.5 \times \frac{1}{4} = 5.125 \text{ yards}
\][/tex]
3. Determine the Remaining Length to Shovel:
After breakfast, Zeke still needs to shovel the portion of the sidewalk that wasn't done before breakfast. Subtract the amount shoveled from the total length:
[tex]\[
\text{Yards left to shovel} = 20.5 - 5.125 = 15.375 \text{ yards}
\][/tex]
So, Zeke has 15.375 yards left to shovel after breakfast.
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