Ali Clara and Shane raise money for new books for the school library all Ellie rays 20% more than Clara and $58 more than Shan Claries 1/4 times
Answers
Answer:
a. $435
b. 33.33%
Step-by-step explanation:
P.S - The exact question is -
Let Clara raised money = x
As given,
Ali raised 20% more than Clara
⇒Ali raised money = [tex]x + \frac{20}{100}x = x + \frac{1}{5} x = \frac{6}{5}x[/tex]
Also given,
Clara raised [tex]\frac{1}{4}[/tex] times more than Shan
Clara raised money = Shan raise money + [tex]\frac{1}{4}[/tex] times shan raired money
⇒Clara raised money = [tex]\frac{5}{4}[/tex] Shan raised money
⇒Shan raised money = [tex]\frac{4}{5}[/tex] times Clara
⇒Shan raised money = [tex]\frac{4}{5}[/tex] x
As given,
Ali raised $58 more than shan
⇒[tex]\frac{6}{5}x = \frac{4}{5}x + 58[/tex]
⇒[tex]\frac{6}{5}x -\frac{4}{5} x = 58[/tex]
⇒[tex]\frac{2}{5}x = 58[/tex]
⇒x = (29)(5) = $145
∴ we get
Clara raised money = x = $145
Ali raised money = [tex]\frac{6}{5}x[/tex] = $174
Shan raised money =[tex]\frac{4}{5}[/tex] x = $116
a.)
Total raised money = $145 + 174 + 116 = $435
b.)
Percentage of money Clara raised = [tex]\frac{145}{435}[/tex]×100% = [tex]\frac{1}{3}[/tex]×100% = 33.33%
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