Scales stacked together: reading on each?

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Homework Statement



A standard scale (shown below) has an internal spring and a dial which shows the force exerted on the pan by this spring. The instrument has a mass of about 1 kg and weight 10 N. Ignore the weight of the light pan. To conserve space, the new metric commissioner stacks a pair of those scales as shown, one upside down on the other. We see them from the back, but what should the dials be showing (in Newtons)? Explain.

scales.jpg


The Attempt at a Solution



from what i understand, they should both show 10 N. the weight of the top scale causes the bottom one to read 10 N, and the normal force pushes back up on the top scale with 10 N. is this correct?
 
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