I think it’s A not sure tho :|
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
<span>Given that one
hundred students are asked a survey question as they walk through the
front gate at their middle school.
This a representative sample of
the schools population because the sampling is random and is not biased.</span>
Answer:
smaller number = 3 5/24
larger number = 6 13/24
Step-by-step explanation:
let the larger number = x
smaller number = y
x - y = 3 1/3 equation 1
2(x +y) = 191/2 equation 2
divide equation 2 through by 2
x + y = 9 3/4 equation 3
subtract equation 1 from 3
2y = 6 5/12
y = 77/12 x 1/2 = 3 5/24
substitute for y in equation 1
x - 3 5/24 = 31/3
x = 3 1/3 + 3 5/24
x = 6 13/24
You start by cross multiplying:
9 x 8 = 72
This is considered the fraction on the left's value.
You do the same for the other side:
10 x 7 = 70
This is considered the value of the fraction 7/8
72 has a greater value than 70.
Therefore, 9/10 is larger.
