Accommodated 8189

One hundred sixty-nine pupils were accommodated in 45 rooms at the outdoor school. Some were triple, and some quadruple, and all were fully occupied. How many were triple and quadruple rooms there?

Correct answer:

a =  11
b =  34

Step-by-step explanation:


45 = a + b
169 = 3a + 4b

45 = a + b
169 = 3·a + 4·b

a+b = 45
3a+4b = 169

Pivot: Row 1 ↔ Row 2
3a+4b = 169
a+b = 45

Row 2 - 1/3 · Row 1 → Row 2
3a+4b = 169
-0.33b = -11.33


b = -11.33333333/-0.33333333 = 34
a = 169-4b/3 = 169-4 · 34/3 = 11

a = 11
b = 34

Our linear equations calculator calculates it.



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