SOLUTION: A cyclist can ride from A to B and back in a certain time at an average rate of 10 km an hour. If he were to ride from A to B at 9km an hour, vand return at 12km an hour, he would
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Question 452272: A cyclist can ride from A to B and back in a certain time at an average rate of 10 km an hour. If he were to ride from A to B at 9km an hour, vand return at 12km an hour, he would save 15 minutes on the double journey. Find the distance from a to B.
A man buys apples at $6 a dozen, and twice as many at $9 a score; he sells them at $9 a dozen, and make a profit of $102. How many apples does he buy?
A man bought a number of eggs at four for $1, and four times as many at five for $1.50; he sells them at a penny each, and make a profit of $44. How many eggs does he buy?
I want the equation of these question(no solution is OK), please~~ in hurry
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A cyclist can ride from A to B and back in a certain time at an average rate of 10 km an hour.
If he were to ride from A to B at 9km an hour, and return at 12km an hour, he would save 15 minutes on the double journey.
Find the distance from a to B.
:
Change 15 min to hrs
;
Let d = dist from A to B
then
2d = round trip dist
:
= original time for round trip
:
+ = his "If" time for the round trip
:
"If" time + 15 min = original time
+ + =
Multiply by 180 to clear the denominators, solve for d
:
:
:
A man buys apples at $6 a dozen, and twice as many at $9 a score; he sells them at $9 a dozen, and make a profit of $102.
How many apples does he buy?
:
Let x = no. of apples bought at $6/12 or .50 ea
then
(2x) = no. of apples bought at $9/20 or .45 ea
therefore:
.50x + .45(2x) = 1.4x total cost of apples
:
:
3x = no. of apples sold at $9/12 or .75 ea
therefore
3x(.75) = $2.25x, total revenue from the apples
:
Rev - cost = profit
2.25x - 1.4x = $102
solve for x, remember he bought a total of 3x apples
:
:
:
A man bought a number of eggs at four for $1, and four times as many at five for $1.50; he sells them at a penny each, and make a profit of $44.
How many eggs does he buy?
:
This does not make sense
:
You are buying at .25 ea and selling for .01 ea, will not make a profit
:
You have to clarify this
:
:
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