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yKpoI14uk [10]
3 years ago
11

Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did each person invest?

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

Answer:

See the detailed answers below

Step-by-step explanation:

Given data

Ratio=  1:4:7

combined ratio= 1+4+7= 12

Total amount= $636,000

Apply the part to all method

The first person will take

1/12= x/ 636,000

cross multiply

12x= 636,000*1

x= 636,000/12

x= 53000

The second person will take

4/12= x/ 636,000

cross multiply

12x= 636,000*4

x= 2544000/12

x= 212000

The third person will take

7/12= x/ 636,000

cross multiply

12x= 636,000*7

x= 4452000/12

x= 371000

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El recorrido de una etapa de una vuelta ciclística tiene una longitud de 213 kilometros y un ciclista recorre 2/3 del trayecto e
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the question in English

The route of a stage of a cycle tour is 213 km long and a cyclist covers 2/3 of the route in five hours.

a) How many kilometers are left to finish the stage?

b) If he continues with the same average speed, how much time does he have left to finish the stage?

Step 1

we know that

1) Total kilometers of a stage is 213\ km

2) The cyclist covers \frac{2}{3} of the route

so

the kilometers remaining to finish the stage is equal to

(1-\frac{2}{3})*213= \frac{1}{3}*213\\ \\=71\ km

therefore

<u>the answer   Part a) is </u>

71\ km

Step 2

<u>Find the average speed of the cyclist</u>

we know that

the speed is equal to

speed=\frac{distance}{time}

we have

time=5\ hours\\ distance=\frac{2}{3}*213=142\ km

substitute

speed=\frac{142}{5}=28.4\frac{km}{h}

Step 3

<u>Find the time remaining to finish the stage</u>

we know that

speed=\frac{distance}{time}

Solve for the time

time=\frac{distance}{speed}

we have

distance=71\ km\\ speed=28.4\frac{km}{h}

substitute

time=\frac{71}{28.4}=2.5\ hours

therefore

<u>the answer Part b) is</u>

2.5\ hours


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