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Bob had $160 and Jay had $240 at first. Each boy spent an equal amount of money. Then the ratio of the amount of money bob had left to the amount of money Jay had left was 3:5. How much money did each boy spend?

 Nov 16, 2020
edited by Guest  Nov 16, 2020
 #1
avatar+114221 
+2

Let  A  be the equal amount spent  by each....and we know that

 

[ 160  - A ]          3

_________  =   ___             cross-multiply

[ 240 - A ]           5

 

 

5 [ 160  - A ]   =  3 [ 240 - A]     simplify

 

800 - 5A =  720 - 3A      add 5A to both sides, subract 720 from each side

 

80  =  2A     divide  both side  by 2

 

$40  = A  = amt each spent

 

cool cool cool

 Nov 16, 2020
 #2
avatar+846 
+1

Bob had 160 and Jay had 240 at first. Each boy spent an equal amount of money. Then the ratio of the amount of money bob had left to the amount of money Jay had left was 3:5. How much money did each boy spend?

 

(160 - x) / (240 - x) = 3 / 5

 

x = 40

 Nov 16, 2020

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