Respuesta :

Raj earned 58 and spent 42, so he saved 58-42 = 16.

Michael earned 83 and saved 20, so he spent 63, but that doesn't matter.

for Raj, 100% of his earning is 58, how much is 16 off of it as a percentage?


[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 58&100\\ 16&x \end{array}\implies \cfrac{58}{16}=\cfrac{100}{x} \implies 58x=1600 \\\\\\ x=\cfrac{1600}{58}\implies \boxed{x\approx 27.586}[/tex]


for Michael, 100% of his earnings is 83, how much is 20 off of it as a percentage?


[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 83&100\\ 20&x \end{array}\implies \cfrac{83}{20}=\cfrac{100}{x}\implies 83x=2000 \\\\\\ x=\cfrac{2000}{83}\implies \boxed{x\approx 24.096}[/tex]


and you can see clearly which percentage is higher.

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