SOLUTION: (a) Kyle and Andrew decide to make some money by raking leaves in their neighborhood. The houses in their neighborhood each have half acre lawns. Kyle and Andrew each start by raki
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-> SOLUTION: (a) Kyle and Andrew decide to make some money by raking leaves in their neighborhood. The houses in their neighborhood each have half acre lawns. Kyle and Andrew each start by raki
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Question 1202918: (a) Kyle and Andrew decide to make some money by raking leaves in their neighborhood. The houses in their neighborhood each have half acre lawns. Kyle and Andrew each start by raking the leaves from their own yards. Kyle realizes it takes him 3 hours to rake one yard and Andrew takes 4 hours. Working together on Saturday, they spend 8 hours total raking yards around their neighborhood. How many yards did they rake? Express your answer as a mixed number.
(b) Kyle and Andrew continue raking leaves again on Sunday and Monday after school. They rake the yard of every house in their neighborhood. There are 14 houses in their neighborhood. If they charge $6 per hour of work, how much money will Kyle and Andrew make after they are finished raking all of the leaves in the neighborhood?
(c) Since Kyle raked at a faster rate than Andrew, Andrew suggests they split their earnings proportional to how much of the 14 yards they each raked. How much more money did Kyle earn than Andrew on their yard work? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! (a) Kyle and Andrew decide to make some money by raking leaves in their neighborhood.
The houses in their neighborhood each have half acre lawns.
Kyle and Andrew each start by raking the leaves from their own yards.
Kyle realizes it takes him 3 hours to rake one yard and Andrew takes 4 hours.
Working together on Saturday, they spend 8 hours total raking yards around their neighborhood.
How many yards did they rake? Express your answer as a mixed number.
:
In 8 hrs K rakes 8/3 = 2 2/3 yards
In 8 hrs A rakes 8/4 = 2 yards
Total yards raked 2 2/3 + 2 = 4 2/3 yards
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(b) Kyle and Andrew continue raking leaves again on Sunday and Monday after school.
They rake the yard of every house in their neighborhood.
There are 14 houses in their neighborhood.
If they charge $6 per hour of work, how much money will Kyle and Andrew make after they are finished raking all of the leaves in the neighborhood?
:
Assuming they are paid for raking their own yards.
let t = no. of hrs they worked to rake all the yards
K takes 3 hrs and A take 4 hrs to do a yard + = 14
Multiply by 12, cancel the denominators
4t + 3t = 12(14)
7t = 168
t = 168/7
t = 24 hrs to do 14 yards together
At $6 an hr each: $12*24 = $288
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(c) Since Kyle raked at a faster rate than Andrew, Andrew suggests they split their earnings proportional to how much of the 14 yards they each raked.
How much more money did Kyle earn than Andrew on their yard work?
K did 24/3 = 8 yards
A did 24/4 = 6 yards
therefore: (288) = $164.57 for K (288) = $123.43 For A
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Difference in pay $41.14
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