All categories

2 years ago

A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-

Mathematics

1 answer:

marusya05 [52]2 years ago

6 0

Answer:

I bedroom condo = $280

2 bedroom condo = $400

3 bedroom condo = $560

Step-by-step explanation:

Given that :

Total rental cost for all 3 condos = $1240

Let :

I bedroom condo = b

2 bedroom condo = c

3 bedroom condo = 2b

Hence,

b + c + 2b = 1240

3b + c = 1240 - - - (1)

REPAIR COST :

Total repair cost = $276

1 bedroom = 10% of b = 0.1b

2 bedroom = 20% of c = 0.2c

3 bedroom = 30% of 2b = 0.3 * 2b = 0.6b

Hence,

0.1b + 0.2c + 0.6b = 276

0.7b + 0.2c = 276 - - - (2)

From (2)

0.7b + 0.2c = 276

0.7b = 276 - 0.2c

b = (276 - 0.2c) / 0.7

Substitute b = (276 - 0.2c) / 0.7 into (1)

3(276/0.7 - 0.2c/0.7) + c = 1240

1182.8571 - 0.8571428c + c = 1240

1182.8571 + 0.1428571c = 1240

0.1428571c = 1240 - 1182.8571

0.1428571c = 57.1429

c = 57.1429 / 0.1428571

c = 400

3b + c = 1240

3b + 400 = 1240

3b = 1240 - 400

3b = 840

b = 840/3

b = 280

Hence,

I bedroom condo = $280

2 bedroom condo = $400

3 bedroom condo = 2(280) = $560

You might be interested in

Serena paid $12.96 for 12 pairs of sport socks. What was the price of the sport socks?

Alenkinab [10]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Divide the price by 12 to find the price:

12.96 / 12 = 1.08

The sport socks cost $1.08 each.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0

3 years ago

Read 2 more answers

Mike put 378 baseballs into 9 trash bins. He put the same number of baseballs in each bin. He took 5 trash bins of baseballs to

ahrayia [7]

Answer:210

Step-by-step explanation: If he put 378 baseballs in 9 bins that would be 378/9=42 baseballs in each bin. If he took 5 bins to the field he took 42X5=210 baseballs

5 0

3 years ago

A group of 5 people paid for general admission to the museum. Some of the people also bought movie tickets. The whole group spen

sashaice [31]

Answer:

5 k + x m = 108 is the needed equation.

k : Cost of 1 general admission ticket

x : Number of movie tickets purchased.

m : cost of 1 movie ticket.

Step-by-step explanation:

The number of people who visited the museum = 5

The total amount spent on general admission and movie tickets = $108

x : the number of movie tickets purchased

Let us assume the cost of each ticket = $ m

So, the cost of x tickets = x ( cost of 1 ticket) = x ( $m) = m x

Also, the general admission amount for 1 person = $ k

⇒ General admission amount for 5 people = 5 x ( $k) = 5 k

So, according to the question:

The general admission + Amount + cost of x movie tickets = $ 108

$ 5 k + x m = 108

So, here: 5 k + x m = 108

k: Cost of 1 general admission ticket

x: Number of movie tickets purchased.

m : cost p=of 1 movie ticket.

Hence, the needed equation is 5 k + x m = 108.

3 0

3 years ago

I need help to this question:Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $1

Iteru [2.4K]

Answer:

The total cost charged by the two companies will be the same for 10 square yards of carpeting .

Step-by-step explanation:

Let us assume that the number of square yards for carpeting used be x.

Let us assume that the total cost of the charged by the companies be y.

As given

Country Carpets charges $22 per square yard for carpeting, and an additional installation fee of $100.

Than the equation becomes

y = 22x + 100

As given

City Carpets charges $25 per square yard for the same carpeting, and an additional installation fee of $70.

Than the equation becomes

y = 25x + 70

Than the two equations are

y = 22x + 100 and y = 25x + 70

Than compare the two equations are

22x + 100 = 25x + 70

25x - 22x = 100 - 70

3x = 30

$x = \frac{30}{3}$

x = 10 square yards .

Therefore the total cost charged by the two companies will be the same for 10 square yards of carpeting .

3 0

3 years ago

A couple plans to have children until they get a girl, but they agree that they will not have more than three children even if a

MAVERICK [17]

Answer:

1.75,0.625

Step-by-step explanation:

Given that a couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys.

a) The couples can have

X I girl I boy, II girl I,II boys, III girl I,II,III boys

Pr. 0.5 0.25 0.125 0.125

b) Expected no of children

= $1(0.5)+2(0.25)+3(0.125)+3(0.125)\\=1+0.75\\=1.750$

c)Expected number of boys

= $0*0.5+1*0.25+2*0.125+3*0.125\\=0.625$

6 0

3 years ago