Solve the problem by using a system of equations.
a motel rents double rooms at $35 per day and single rooms at $23 per day. if 29 rooms were rented one day for
a total of $895, how many rooms of each kind were rented?
single rooms
double rooms

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

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

answer

you start with $5 and save $10 a week until you have at least $45wer

step-by-step explanation: