Answer:
Single Rooms: 10 Double Rooms: 19
Step-by-step explanation:
d=double rooms and s=single rooms. Okay so:
1. Set up your equations. One for the cost of each room and one for the number of rooms. In this case it's 35d+23s=895 and d+s=29
2. You have to get one of the equations to equal one of the variables. For example, in the second equation subtract the s to put it on the other side to get d=29-s
3. Plug in that equation(d=29-s) into the variable d for the first equation: 35(29-s)+23s=895
4. Use the distributive property to get 1,015-35s+23s=895
5. combine like terms to get 1,015-12s=895
6. Subtract the 1,015 over to the other side to get -12s= -120
7. Divide the -120 by the -12 to isolate the s and in return you find that the number of single rooms rented was 10.
8. To find the amount of double rooms plug the 10 into the s for the second equation(d+s=29)
9. subtract the 10 to get the d by itself
10. d=19
