The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased b
y 2, the fraction becomes 3/4. What is the original fraction?
Which of the following systems of equations can be used to solve the problem?
1 answer:
The clues translate to
n/d = 2/3
(n+2)/(d+2) = 3/4
Solving this by cross multiplying both:
3n = 2d
3(d+2) = 4(n+2) => 3d + 6 = 4n + 8
then substituting d = 3/2 n in the second:
9/2n - 4n = 2 => 1/2 n = 2 => n = 4
if n=4 then d = 3/2*4 = 6.
So the original fraction was 4/6
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Step-by-step explanation:
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68-39= 29˙
38.)
29028-282= 28746 ft
The answer is 350.
<em>
m= minutes</em>
Plan 1: 9+0.13<em>m</em>
Plan 2: 23+0.09<em>m</em>
9+0.13<em>m</em> = 23+0.09<em>m</em>
-9 -9
0.13<em>m</em> = 14+0.09<em>m</em>
-0.09<em>m</em> -0.09<em>m</em>
0.04<em>m</em>= 14
14÷0.04= 350
<em>m</em>= 350
Step-by-step explanation:
<u>Step 1: Cross Multiply</u>



<u>Step 2: Divide both sides by 4</u>


Answer: 