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Olivia used to get a six-dollar allowance every month; now she gets one-third more.
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Chloe’s allowance increased by 20 percent; she used to get 10 dollars each month.
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Whose allowance increased more in dollars per month?
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So we know that Olivia used to get six dollars per month and Chloe used to get 10 dollars per month and they each are getting more money per month.
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So, Olivia is getting one-third more and Chloe is getting 20 percent more.
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Now, it is not asking who got a bigger increase; it wants to know who’s increased more in dollars per month because one-third more is more than 20 percent more because 20 percent could be written as one-fifth more and one-third is greater than one-fifth.
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However, we want to know is one-third of six more than or less than one-fifth of 10.
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In order to figure this out, we need to multiply.
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Six times one-third is six-thirds, which is two.
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So Olivia is now getting two more dollars per month.
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Chloe, we take 10 times 20 percent or 10 times one-fifth which is ten-fifths, which is two.
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So Chloe her allowance increased by two dollars.
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We also could have found Chloe’s increase by taking 10 times 0.2; that’s 20 percent.
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So whose allowance increased more in dollars per month?
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Since they both increased by two dollars, both allowances increased by the same amount.