Question

A blue bike is $14 less than a red bike. The sum of their prices is $300. How much is the red bike?

Answer 1

157

Answer 2

Giving answers rather than explaining steps and ensuring understanding is not a good idea.

Answer 3

r+r-14=300
r=157

Answer 4

let's write price of a blue bike with x ... and price of red bike with y

we have:
x-14$=y
x=y+14

and

x+y=300$

substitute x into the second equation you get:

(y+14)+y=300

2y=300-14
2y=286
y=143

now let's substitute:

x+y=300
x+143=300
x=300-143
x=157

so price of the blue bike which we've written with X is 157
and price of the red bike which we've written with Y is 143

it also says that

A blue bike is $14 less than a red bike

so
x-14=y
157-14=143
143=143 ---TRUE

Answer 5

Proper Solution:

If we let
b = the price of the blue bike
r = the price of the red bike

Then,

English statement: "A blue bike is $14 less than the red bike" becomes
Mathematical Statement: b = r - 14

Also:
English statement: "The sum of their prices is $300" becomes
Mathematical statement b + r = 300

If we consider the mathematical statements only, then:

b = r - 14
b + r = 300

Answer 6

@Hero A blue bike is $14 less than a red bike.
I think it should be
b-14=r
not b=r-14

Answer 7

You should probably read the statement five more times before making a decision.

Answer 8

ok .. I'll read it 5 more times :)

Answer 9

Remember, the statement is:

The blue bike is $14 less than the red bike.

Answer 10

Hint: is means "equals"

Answer 11

if blue bike costs 100$ and red bike 100$

b=r
100=100
100-14=100
86=100

still blue bike costs 14$ less than red bike !!

Answer 12

Linna, you should be trying to convince yourself that the statement I wrote is true, not that your statement is true. I never disputed your statement.

Answer 13

convince me.. give me an example. I want to know why I'm wrong. :)

Answer 14

I never said you were wrong actually.

Answer 15

But I will finish my solution just to convince you

Answer 16

can't wait to see it !

Answer 17

Proper Solution:

If we let
b = the price of the blue bike
r = the price of the red bike

Then,

English statement: "A blue bike is $14 less than the red bike" becomes
Mathematical Statement: b = r - 14

Also:
English statement: "The sum of their prices is $300" becomes
Mathematical statement b + r = 300

If we consider the mathematical statements only, then:

b = r - 14
b + r = 300

Since we have two equations sharing the same variables, we can write both equations in terms of variable r:

r = b + 14
r = 300 - b

Now we can set r = r and solve for b:

b + 14 = 300 - b
2b = 286
b = 143

Therefore the price of the blue bike is $143

This means that the price of the red bike must be $157 since:

b = r - 14
143 = r - 14
143 + 14 = r
157 = r

Answer 18

@Hero your solution seem to be correct, but... where I went wrong to get Blue bike 157 ??

Answer 19

Your mathematical statement was incorrect to begin with.

Answer 20

I have laid out the procedure of how to translate English Sentences to mathematical Statements

Answer 21

anyway , can't say I wansn't close ! lol

Answer 22

ok now leave that question, and move to another