You must

You must level a rooftop unit on the curb with shims. If you need to shim the unit 13/16" on one side, how many shims will be required if it is given 1/8" and 1/16" shims? Use ten shims exactly.

Correct answer:

a =  3
b =  7

Step-by-step explanation:


a+b=10
13 = 2·a+b

a+b = 10
2a+b = 13

Pivot: Row 1 ↔ Row 2
2a+b = 13
a+b = 10

Row 2 - 1/2 · Row 1 → Row 2
2a+b = 13
0.5b = 3.5


b = 3.5/0.5 = 7
a = 13-b/2 = 13-7/2 = 3

a = 3
b = 7

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