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Chloe began depositing money at the beginning of a year and had saved 180 dollars by the end of that year. She continued to deposit funds and by the end of the next year had saved a total of 420 dollars. Which of the following is closest to the percent increase in the amount Chloe saved during the second year compared to the amount she saved during the first year?

Explanation	Calculations	Help
$We first create variables for the amounts saved in each year.$	$F = amount saved during the first year S = amount saved during the second year$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "had saved 180 dollars by the end of that year" into an equality.$	$F = 180$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate "by the end of the next year had saved a total of 420 dollars" into a sum.$	$F + S = 420$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We solve for the second-year saving amount by subtracting the first-year amount from the total.$	$S = 420 - F$
$We substitute the first-year amount into the expression for the second-year saving.$	$S = 420 - 180$
$We find the value of the second-year saving.$	$S = 240$
$We calculate the percent increase in total savings from the end of the first year to the end of the second year.$	$\frac{( F + S ) - F}{F} = \frac{420 - 180}{180} \frac{240}{180} = \frac{4}{3}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We convert the fraction to a percentage.$	$\frac{4}{3} \times 100% \approx 133%$

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D

Chloe began depositing money at the beginning of a year and had saved 180 dollars by the end of that year. She continued to deposit funds and by the end of the next year had saved a total of 420 dollars. Which of the following is closest to the percent increase in the amount Chloe saved during the second year compared to the amount she saved during the first year?

Explanation	Calculations	Help
$We first create variables for the amounts saved in each year.$	$F = amount saved during the first year S = amount saved during the second year$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "had saved 180 dollars by the end of that year" into an equality.$	$F = 180$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate "by the end of the next year had saved a total of 420 dollars" into a sum.$	$F + S = 420$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We solve for the second-year saving amount by subtracting the first-year amount from the total.$	$S = 420 - F$
$We substitute the first-year amount into the expression for the second-year saving.$	$S = 420 - 180$
$We find the value of the second-year saving.$	$S = 240$
$We calculate the percent increase in total savings from the end of the first year to the end of the second year.$	$\frac{( F + S ) - F}{F} = \frac{420 - 180}{180} \frac{240}{180} = \frac{4}{3}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We convert the fraction to a percentage.$	$\frac{4}{3} \times 100% \approx 133%$

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D