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suppose , circle = x ; square =y and star =z
so , 2x +y =7..........................(1)
2y +z =19 ......................(2)
2z +x =19.....................(3)
so, (1) + ( 2) + (3) =2x +y + 2y +z +2z +x =45
or, 3( x+y +z) =45
or. x+ y +z =15
We can solve it using three equations with three unknowns.
Let each green square be x
Let each red circle be y
and each star be z ,
then we have
2 y + x = 7 ,
2 x + z = 1 9 ,
2 z + y = 1 9 . Solving this system yields y = 1 , x = 5 and z = 9 ⟹ x + y + z = 1 5
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Let a = pink circle, b = green square, and c = yellow star.
2 a + b = 7
2 b + c = 1 9
2 c + a = 1 9
Adding all of the equations yields:
3 a + 3 b + 3 c = 4 5
3 ( a + b + c ) = 4 5
a + b + c = 1 5