Ski lessons

The ski course attends 80 pupils. They live in triple and quadruple rooms. Count if rooms are the 23. How many are triple and quadruple rooms?

Correct answer:

x =  12
y =  11

Step-by-step explanation:


3x+4y = 80
x+y = 23

3·x+4·y = 80
x+y = 23

3x+4y = 80
x+y = 23

Row 2 - 1/3 · Row 1 → Row 2
3x+4y = 80
-0.33y = -3.67


y = -3.66666667/-0.33333333 = 11
x = 80-4y/3 = 80-4 · 11/3 = 12

x = 12
y = 11

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