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chl75
21.01.2020 •
Mathematics
Lucy is blocking off several rooms in a hotel for guests coming to her wedding. the hotel can reserve small rooms that can hold 2 people, and large rooms that can hold 5 people. lucy reserved 3 times as many large rooms as small rooms, which altogether can accommodate 85 guests. determine the number of small rooms reserved and the number of large rooms reserved.
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Ответ:
The proportion of small and large rooms is an illustration of linear functions
Lucy should reserve 3 small rooms, and 15 large rooms
Represent small rooms with s, and large rooms with l.
So, we have the following system of equations
Substitute 3s for l in![2s + 5l = 85](/tpl/images/0463/8687/eb90e.png)
Open bracket
Evaluate like terms
Divide both sides by 17
Substitute 5 for s in![l =3s](/tpl/images/0463/8687/95279.png)
Hence, Lucy should reserve 3 small rooms, and 15 large rooms
Read more about linear functions at:
link
Ответ:
5 small rooms and 15 large rooms
Step-by-step explanation:
Let
x = number of small rooms
y = number of large rooms
1. Small rooms can hold 2 people, so there are 2x people in x small rooms. Large rooms can hold 5 people, so there are 5y in y large rooms.
In total, there are 2x + 5y people in all rooms.
All rooms can accommodate 85 guests, so
2. Lucy reserved 3 times as many large rooms as small rooms, so
3. Substitute the secons equation into the first one:
Ответ:
Step-by-step explanation:2