Look at the picture.
Let |AE| = |AD| = b
We have a proportion:
Solve for y from first proportion
Substitute to the second proportion
Answer: B. 25
Let’s call the numbers x and y. Let’s also say that x is the smaller of the two. Since their difference (the answer you get when you subtract is 44 and a half) we know that y-x=44.5
Next we are told that if the smaller increases 7 times (that means 7x) their difference would be 10 3/14. Let’s write that as a fraction. It is 14x10+3 over 14. That is 143/14.
So this means y-7x=143/14.
We have two equations and two unknowns (a system of equations). We write one over the other and subtract them to get:
y-x=44.5
y-7x=143/14
Subtracting yields:
(y-y)+(-x - - 7x) = 44.5 - 143/14
6x = (89/2) - (143/14)
6x= 623/14 - 143/14
6x=480/14
X= (480/14)(1/6)
X=80/14
x= 40/7 = 5 5/7
Since y-x=89/2
We get y - 40/7 = 89/2
Y = 40/7 + 89/2
Y = 80/14 + 623/14
Y = 703/14 = 50 3/14
-4(3-x)+6=2(x-3)
-12+4x+6=2x-6
-6+4x=2x-6
-6+6=2x-4x
0=-2x
0/x=-2
Exact form:
22/13
Mixed number:
1 9/13
Hoi!
The basic metric unit of capacity is a liter. :)
