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Andrew started saving at the beginning of the year and had saved 240USD by the end of the year. He continued to save and by the end of 2 years had saved a total of 540USD. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he 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
$We translate "Andrew had saved 240USD by the end of the year" into an equality.$	$F = 240$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate "by the end of 2 years had saved a total of 540USD" into a sum.$	$F + S = 540$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We solve for the second-year saving amount by subtracting the first-year amount from the total.$	$S = 540 - F$
$We substitute the first-year amount into the expression for the second-year saving.$	$S = 540 - 240$
$We find the value of the second-year saving.$	$S = 300$
$We calculate the percent increase by finding the difference between the second- and first-year amounts divided by the first-year amount.$	$\frac{S - F}{F} = \frac{300 - 240}{240} = \frac{60}{240} = \frac{1}{4}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We convert the fraction to a percentage.$	$\frac{1}{4} \times 100% = 25%$

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25%

Andrew started saving at the beginning of the year and had saved 240USD by the end of the year. He continued to save and by the end of 2 years had saved a total of 540USD. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he 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
$We translate "Andrew had saved 240USD by the end of the year" into an equality.$	$F = 240$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate "by the end of 2 years had saved a total of 540USD" into a sum.$	$F + S = 540$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We solve for the second-year saving amount by subtracting the first-year amount from the total.$	$S = 540 - F$
$We substitute the first-year amount into the expression for the second-year saving.$	$S = 540 - 240$
$We find the value of the second-year saving.$	$S = 300$
$We calculate the percent increase by finding the difference between the second- and first-year amounts divided by the first-year amount.$	$\frac{S - F}{F} = \frac{300 - 240}{240} = \frac{60}{240} = \frac{1}{4}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We convert the fraction to a percentage.$	$\frac{1}{4} \times 100% = 25%$

Scroll horizontally to view all columns

25%