Tour

Thirty-five people went on a tour and paid 8530. Employees pay 165, and family members pay 310. How many employees and how many family members went on the tour?

Correct answer:

a =  16
b =  19

Step-by-step explanation:


a+b=35
165a+310b=8530

a+b=35
165·a+310·b=8530

a+b = 35
165a+310b = 8530

Pivot: Row 1 ↔ Row 2
165a+310b = 8530
a+b = 35

Row 2 - 1/165 · Row 1 → Row 2
165a+310b = 8530
-0.88b = -16.7


b = -16.6969697/-0.87878788 = 19
a = 8530-310b/165 = 8530-310 · 19/165 = 16

a = 16
b = 19

Our linear equations calculator calculates it.



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