A motel in a suburb of Chicago rents double rooms for $120 per day and single rooms for $90 per day. If a total of 55 rooms were rented for $6150, how many of each kind were rented?

Phoebe
2021-09-11
Answered

solve each problem by setting up and solving an appropriate system of equations.

A motel in a suburb of Chicago rents double rooms for $120 per day and single rooms for $90 per day. If a total of 55 rooms were rented for $6150, how many of each kind were rented?

A motel in a suburb of Chicago rents double rooms for $120 per day and single rooms for $90 per day. If a total of 55 rooms were rented for $6150, how many of each kind were rented?

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Arnold Odonnell

Answered 2021-09-12
Author has **109** answers

A motel in a suburb of Chicago rents double rooms for $120 per day and single rooms for $90 per day and total of 55 rooms were rented for $6150.

Let x & y be the number of double rooms and single rooms respectively. Then,

Now,

[120·Equation (1)]−[Equation (2)]

Now put

Hence 40 double rooms and 15 single rooms were rented.

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