Ali and mo share a sum of money in the ratio ali : mo = 9 : 7 ali receives 600 more than mo calculate how much each receives

Mathematics

2 answers:

shepuryov [24]1 year ago

7 0

Step-by-step explanation:

Given :-

Ali and mo share a sum of money in the ratio ali : mo = 9 : 7 .
Ali receives 600 more than mo .

And we need to find out how much each receives .Let us take that

Mo received x .
Ali will get x + 600.

According to the Question :-

$\implies \dfrac{9}{7}=\dfrac{x+600}{x}\\\\\implies 9x = 7x + 4200 \\\\\implies 2x = 4200 \\\\\implies x = 2100$

Therefore :-

Ali = x+600 = 2700
Mo = x = 2100

Semenov [28]1 year ago

5 0

Answer:

ali:mo=937.5 and 262.5

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jasenka [17]

Answer:

a. 30%

b. $893.59

$\frac{(351.10-x)}{893.59}\times 100\%$

Step-by-step explanation:

a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.

#To get the percent of the flooring bill that will go towards the cost of labor:

$\% labor\ cost=\frac{labor \ cost}{Total \ flooring \ cost}\times 100\%\\\\=\frac{212.52}{427.35+212.52+75}\times 100\%\\\\=\frac{212.52}{714.87}\times 100\%\\\\=29.73\%\approx30\%$

Hence, labor costs 30% of the total flooring costs.

b.The total flooring costs is :

$F_c=212.52+427.35+75\\\\=714.87$

Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:

$Furniture \ Cost= Flooring \ C\ost \times 125%\\\\=714.87\times 1.25\\\\=893.59$

Hence, she spends $893.59 on furniture.

c.To get what percentage of furniture cost was the night stand.

-Given the total furniture cost is $893.59:

Let x be the cost of the dresser and y the cost of the nightstand;

$x+y=Furniture\ cost -Bed \ cost\\\\x+y=893.59-558.49=351.1\\\\y=351.1-x$

The percentage is then calculated as:

$\% cost \ of \ nightstand=\frac{cost \ of \ nighstand}{Furniture \ Cost}\times 100\%\\\\=\frac{351.10-x}{893.59}\times 100\%\\\\=\frac{(351.10-x)}{893.59}\times 100\%$