Question

there are 51 students accomodate in 15 rooms some rooms are 4bed bedroom and some are 3bed bedroom. how many of them are 4bed and 3bed if two beds are free.
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Answer 1

• Let the the no of rooms with 4 beds be x

Then no of rooms with 3 beds will be 15-x

4x + 3{15-x} = 51

4x +45 -3x =51

x =6

ANSWER 6 rooms with 4 beds + 9 rooms with 3 beds

• Let number of 4beds-bedrooms be X

Then number of 3 beds-bedrooms=(15-X)

4X+3(15-X)=51

45X+45–3X=51

X=51–45=6

Number of 4beds-bedrooms =6

Number of 4beds-bedrooms =6 Number of 3 beds-bedrooms=15–6=9

Hope it's helpful :)

Answer 2

Step-by-step explanation:

Let the the no of rooms with 4 beds be x

Then no of rooms with 3 beds will be 15-x

4x + 3{15-x} = 51

4x +45 -3x =51

x =6