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Danny had some $2 and $5 notes. He spent 3/5 of the $2 notes and 1/4 of the $5 notes on a present. As a result, he had $238 left. The total value of the $5 notes left was $182 more than the total value of the $2 notes left. Find the ratio of the number of $2 notes to the number of $5 notes Danny had at first?

 Oct 22, 2021
 #1
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Let the amount of $2 notes ==T

Let the amount of $5 notes ==F

 

T  -  3/5T ==2/5T - still left

F  -  1/4F ==3/4F - still left

 

2/5T  +  3/4F ==238

 3/4F  -  2/5T ==182, solve for T, F

 

F ==280 - original amount of $5 notes.

T==70 - original amount of $2 notes.

The ratio is: 70 / 280 == 1/4

 Oct 23, 2021
 #2
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$2 : $5 = 5 : 8 smiley

 Oct 23, 2021

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