Answer:
Step-by-step explanation:
Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles
Lucy shares 1/3 with Carol and keeps 1/4 for herself.
This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.
C = 1/3x
L = 1/4x
We are also told that Carol has 7 more marbles than Lucy
C = L + 7
Since C = 1/3x and L = 1/4x you can sub these into the above equation and you get:
1/3x = 1/4x + 7
Subtract 1/4x from both sides
1/3x - 1/4x = 7
1/12x = 7
Multiply both sides by 12 to find x.
x = 7 times 12 = 84 (Total amount of marbles = 84)
Amrita gets the remaining number of marbles.
A = x - C - L
A = 84 - 1/3 (84) - 1/4 (84)
A = 35
Step-by-step explanation:
Selling price = Rs.80
Cost price = Rs.100
here, CP > SP
Now...
Loss ( L ) = CP - SP
= RS.100 - 80
= Rs.20
Now...


= 20 %
Hello from MrBillDoesMath!
Answer:
11
Discussion:
Let "n" be the smaller number. Then
n * (n+5) = 176.
My first reaction to this problem was to factor 176 in my head. That's 176 = 16 * 11 and 16 is 5 more than 11. So that's the solution!.... Now let's solve it using the brute force approach:
n(n+5) = 176 =>
n^2 + 5n - 176 = 0 => use the quadratic formula
n = ( -5 +\- sqrt( 5^2 - 4(1)(-176)) ) /2
= ( -5 +\- sqrt( 25 + 704) )/ 2
= ( -5 +\- sqrt (729) ) /2 => as sqrt(729) = 27
= (-5 +\- 27) / 2 =>
= (-5 + 27)/2 or ( -5 -27)/2 =>
= 22/2 or -32/2 =>
= 11 or -16
But -16 is not allowed as the question wants a positive value.
Thank you,
MrB
Answer:

Step-by-step explanation:
Given

Required
Show on a number line

Divide through by -2


Add 1 to both sides


Divide through by 3

<em>See Attachment for number line</em>