Question

Greg has a piece of rope that is 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece.



How long will each piece of rope be?



Shorter piece: ft

Longer piece: ft

Answer 1

@ganeshie8

Answer 2

@dumbcow

Answer 3

@Data_LG2 @Destinymasha

Answer 4

so total length of rope is 18 ft.
cut in half:
let x be the shorter piece, so long piece would be : 2- 3x

so you'll have
long piece + short piece =total length of rope
2-3x + x =18
solve for x, tell me what you got and i'll tell you the rest

Answer 5

x=-8

Answer 6

oh crap sorry i made a mistake. longer piece should be 3x-2 not 2-3x. sorry
so that will be 3x-2+x=18, x= 5
so since x is the length of the short piece then the short piece would be 5 ft long.
now the longer piece is 3x-2, substitute 5 and you'll get?

Answer 7

not for sure

Answer 8

3(5)-2?

Answer 9

oh ok the x confused me sorry

Answer 10

13?

Answer 11

x- is the shorter piece of the rope.. i just named the length of the shorter piece as "x"

Answer 12

long piece = 2 ft less than 3 times the length of the shorter piece
if i let the short piece equal to x, then the longer piece is will be 2 ft less than 3 times the length of the "x".
the mathematical interpretation will be longer piece is 3x - 2
is it clear?

Answer 13

yes

Answer 14

will you help me with another one

Answer 15

Admission to the museum is $12 for children and $15 for adults. On a certain day, 2450 people go to the museum and $33,456 is collected.



How many children and how many adults went to the museum?



children__

adults__

Answer 16

@Data_LG2

Answer 17

let x - children
let y-adult

number of people attended
x+y = 2450

cost
12x + 15y = 33,456

so you have TWO equations and you have to solve for TWO variables.
do you know how to solve systems of linear equations?

Answer 18

no