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Christo and Aris had 207 marbles. Christo bought another 12 marbles and Aris gave his brother 12 marbles. As a result, Christo had 1/2 as many marbles as Aris. How many marbles did Aris have at first?

 Oct 3, 2021
 #1
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+2

c+ a = 207      or     c = 207-a

 

c+12 = 1/2 (a-12)     sub in the red equation

207-a + 12 = 1/2 a - 6

225 = 1 1/2 a

a = 150 

 Oct 4, 2021
 #2
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+1

            x + 12 = 1/2 (y-12)

=>      2x + 24 = y - 12

=>      2x - y = -36

          3x = 171

            x = 57

            y = 150

Christo had 57 marbles and Aris had 150 marbles at first.

=>     Aris had 150 marbles at first.

 Oct 5, 2021
edited by Guest  Oct 5, 2021

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