What should be the value of the bottom row in our
Euro 2012 Football themed grid?
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Glorfindel is correct, but there's an algebraic approach to it.
Let the shirt be x, the shorts be y, and the ball be z.
With that in mind, we now have:
2x + 2y = 100
3x + z = 145
x + y + 2z = 100
2x + y + z = ??
Now, we can solve for two variables, then use the substitution method. Taking the easiest, we get:
2x + 2y = 100 -> 2y = -2x + 100 -> y = -x + 50
3x + z = 145 -> z = -3x + 145
x + (-x + 50) + 2(-3x + 145) = 100
This equates out to:
x - x + 50 - 6x + 290 = 100 -> 50 - 6x + 290 = 100 -> -6x + 340 = 100 -> -6x = -240 -> x = 40
Now that we know what x is, we can solve the rest.
2(40) + 2y = 100 -> 80 + 2y = 100 -> 2y = 20 -> y = 10
40 + 10 + 2z = 100 -> 50 + 2z = 100 -> 2z = 50 -> z = 25
2(40) + 10 + 25 = 115
This was more a mathematical problem than a puzzle, though.
I think the answer is
My reasoning - I'm not sure what the blue & white figure is, but it looks like a shawl to me:
In the leftmost column, we have two shawls and two shirts which add up to 100. That means one shawl and one shirt add up to 50. Subtract that from the second row, and we're left with two balls being equal to 50. Which means the ball has a value of 25. Substitute that in the third column - we get that three shirts are equal to 120, so the shirt has a value of 40. We already know one shawl plus one shirt equals 50, so the shawl has a value of 10. Therefore, the value of the bottom row is 40+25+40+10 = 115.