Olivia used to get a six-dollar allowance every month; now she gets one-third more. Chloe’s allowance increased by 20 percent; she used to get 10 dollars each month. Whose allowance increased more in dollars per month?
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. So, Olivia is getting one-third more and Chloe is getting 20 percent more.
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.
However, we want to know is one-third of six more than or less than one-fifth of 10. In order to figure this out, we need to multiply. Six times one-third is six-thirds, which is two. So Olivia is now getting two more dollars per month.
Chloe, we take 10 times 20 percent or 10 times one-fifth which is ten-fifths, which is two. So Chloe her allowance increased by two dollars. We also could have found Chloe’s increase by taking 10 times 0.2; that’s 20 percent.
So whose allowance increased more in dollars per month? Since they both increased by two dollars, both allowances increased by the same amount.