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ozzi
3 years ago
14

PLEASE HELP!! Find the ratio a:b if it is given that:

Mathematics
1 answer:
Crank3 years ago
5 0

Answer:

14: 1

Step-by-step explanation:

Given:  \frac{2a - 3b}{5}  =  \frac{a + b}{3}

<em>Cross multiply:</em>

3(2a -3b)= 5(a +b)

<em>Expand:</em>

6a -9b= 5a +5b

<em>Move all a terms to one side, b terms to the other:</em>

6a -5a= 9b +5b

<em>Simplify:</em>

a= 14b

<em>Divide by b on both sides:</em>

\frac{a}{b}  = 14

<em>Rewriting 14 as a fraction:</em>

\frac{a}{b}  =  \frac{14}{1}

∴ a: b= 14: 1

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A wall in Marcus's bedroom is 8 1/3 feet high and 16 1/5 feet long. If he paints 1/3 of the wall blue, how many square feet will
Flura [38]
<span><u><em>Answer:</em></u>
45 ft</span>²<span> will be blue

<u><em>Explanation:</em></u>
<u>1- getting the area of the wall:</u>
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area = length * width

we are given that:
length = </span>16 \frac{1}{5} ft<span>
width = </span>8 \frac{1}{3}<span> ft

Now, substituting in the above rule, we can get the area as follows:
area = </span>16 \frac{1}{5} * 8 \frac{1}{3} = 135 ft²<span>

<u>2- getting the area that would be pained blue:</u>
We are given that </span>\frac{1}{3}<span> of the area of the room would be painted blue, this means that:

area of blue = </span>\frac{1}{3}<span> * area of room

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Hope this helps :)</span>
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