Pupils 6579

There are 169 pupils, 45 rooms, how many rooms are three beds and how many five beds?

Correct answer:

a =  28
b =  17

Step-by-step explanation:


3a + 5b = 169
a+b = 45

3·a + 5·b = 169
a+b = 45

3a+5b = 169
a+b = 45

Row 2 - 1/3 · Row 1 → Row 2
3a+5b = 169
-0.67b = -11.33


b = -11.33333333/-0.66666667 = 17
a = 169-5b/3 = 169-5 · 17/3 = 28

a = 28
b = 17

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