To find out how much Jane and Ellis will have saved after the same amount of time, we need to determine the number of days it will take for them to have saved the same amount of money.
Let x be the number of days it will take for Jane and Ellis to save the same amount.
Jane's savings: $100 + $5x
Ellis's savings: $75 + $7x
Since their savings will be equal:
$100 + $5x = $75 + $7x
Solving for x:
$25 = $2x
x = 12.5
It will take 12.5 days for Jane and Ellis to have saved the same amount of money.
To find out how much they will each have saved after 12.5 days:
Jane's savings: $100 + $5(12.5) = $100 + $62.5 = $162.5
Ellis's savings: $75 + $7(12.5) = $75 + $87.5 = $162.5
After 12.5 days, Jane and Ellis will each have saved $162.5.
Jane has $100 and Ellis has $75. Jane is saving $5 per day and Ellis is saving $7 per day.
D. After the amount of time found above, how much will Jane and Ellis each have saved?
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