Step-by-step explanation:
eNotes Home
Homework Help
Study Guides
Texts
Teachers▻
Sign In
Join
rowseNotessearch
Math
MENU
The difference between two numbers is 12. Three times the larger number is seven times the smaller. What are the two numbers?
print Print
document PDF
list Cite
Expert Answers info
JEEW-M  | CERTIFIED EDUCATOR
Let us say the two numbers are x and y and x>y.
The data we have are;
Difference between the numbers are 12.
3 times larger number is equal to 7 times smaller number.
Then we can write;
 ----(1)
 ----(2)
From (1) we can say 
Then substituting  to (2) gives;




Then;


Ok let us assume x= the width of the table top
the length is 4 times the width meaning we are multiplying 4 and the width
which is x
length = 4x
your first equation would be the following:
4x+4x+x+x= whatever the perimeter is
if you drew a rectangle it would help you understand the above.
this represents the perimeter of the tabletop because we know the width is x. if you drew the rectangle there wouldn't be 1 width. opposite to the width is another line. same with the length. the length is 4x again there are 2 because in a rectangle there are 2 sets of parallel lines. that is why your equation would be 4x+4x+x+x= whatever the perimeter is- you could simplify this equation and write:
10x= whatever the perimeter is
x basically means 1x but in math we generally don't write that because we tend to write most things in simplest for.
hope this helps :)
Answer: 20%
1/(1+4) = the answer
its just the amount of lemon juice over total volume
= 