SOLUTION: four children earn money for a charity, dauda earns #y, obi earns half as much as dauda, chidi earns three times as much as Obi and Wale earns #250 less than all the other three.

Algebra ->  Inequalities -> SOLUTION: four children earn money for a charity, dauda earns #y, obi earns half as much as dauda, chidi earns three times as much as Obi and Wale earns #250 less than all the other three.       Log On


   



Question 1097176: four children earn money for a charity, dauda earns #y, obi earns half as much as dauda, chidi earns three times as much as Obi and Wale earns #250 less than all the other three. together they earn more than #4300, find the least value of y?
Found 3 solutions by Fombitz, josmiceli, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll give this a try
I think the best way is to say:
+y+ = amount Dauda earns
+y%2F2+ = amount Obi earns
+3%2A%28+y%2F2+%29+ = amount Chidi earns
+y+%2B+y%2F2+%2B+3%2A%28+y%2F2+%29+-+250+ = amount Wale earns
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+y+%2B+4%2A%28+y%2F2+%29+-+250+%3E+4300+
+3y+-+250+%3E+4300+
+3y+%3E+4550+
+y+%3E+1516.67+
In order to be greater than 1516.67, then
y must be at least 1516.68
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Hope I got it. Feel free to get another opinion on this

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

four children earn money for a charity, dauda earns #y, obi earns half as much as dauda, chidi earns three times as much as Obi and Wale earns #250 less than all the other three. together they earn more than #4300, find the least value of y?
When possible, STAY AWAY from fractions. However, it's better to use them in this case.
As suggested, Dauda earns y
Therefore, Obi earns matrix%281%2C5%2C+%281%2F2%29%2C+%22%2A%22%2C+%22y%2C%22%2C+or%2C+y%2F2%29
Chidi earns: matrix%281%2C3%2C+3%28y%2F2%29%2C+or%2C+3y%2F2%29
Wale earns y+%2B+y%2F2+%2B+3y%2F2+-+250
We then get: y+%2B+y%2F2+%2B+3y%2F2+%2B+y+%2B+y%2F2+%2B+3y%2F2+-+250+%3E+%224%2C300%22
y+%2B+4y%2F2+%2B+y+%2B+4y%2F2+-+250+%3E+%224%2C300%22
y + 2y + y + 2y - 250 > 4,300
6y > 4,550
matrix%281%2C4%2C+y+%3E+%224%2C550%22%2F6%2C+%22%2C%22%2C+or%2C+y+%3E+758.33%29
The least value of y will then be: highlight_green%28%22758.34%22%29