Question

Please help me! Medal+Fanning!

Ted practices two types of swimming styles for a total of 50 minutes every day. He spends 20 minutes more practicing the breast stroke than the butterfly stroke.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Ted practices the butterfly stroke every day (x) and the number of minutes he practices the breast stroke every day (y). (5 points)

Part B: How much time does Ted spend on practicing the breast stroke every day? (3 points)

Answer 1

What's x?

Answer 2

Butterfly stroke every day is x and breast stroke everyday is y

Answer 3

Does x = y?

Answer 4

I don't think so...

Answer 5

What's x + y?

Answer 6

It would equal 50

Answer 7

Please write it as a linear equation.

Answer 8

x+y=50

Answer 9

What does he do longer, breast stroke or butterfly stroke?

Answer 10

Breast stroke.

Answer 11

How much longer?

Answer 12

20 minutes longer

Answer 13

You said breast stroke was y and it's 20 bigger than x... so what's x?

Answer 14

x is butterfly stoke

Answer 15

You said \(x\neq y\) because y is 20 larger.

Answer 16

Yeah. :)

Answer 17

so\[x=y-20\]

Answer 18

What's y, you ask?\[x=y-20\]\[x+20=y-20+20\]\[x+20=y+0\]\[y=x+20\]

Answer 19

Oh, okay, that makes soo much sense, thank u!

Answer 20

Here you take the time he does the butterfly stroke (x) and add twenty minutes.

Answer 21

Part A, two linear equations\[x=y-20\]\[y=x+20\]

Answer 22

Part B
You know two things\[x+y=50\]and\[x=y-20\]Solve for y.

Answer 23

Okay...how would you solve that? I'm confused.

Answer 24

Stick this\[x=\color{red}{y-20}\]in this\[\color{red}{x}+y=50\]

Answer 25

So it would be like....

x(y-20)+y=50

Answer 26

\[x=y-20\]x equals y minus 20
so you need to replace the x with something that is equal to x\[\color{red}{y-20}+y=50\]

Answer 27

Oh, okay, thanks!

Answer 28

Then, what?

Answer 29

Add twenty to both sides.

Answer 30

y-20+y=50
+20 +20
y-y=70

Answer 31

Watch the sign, you have two positive y's

Answer 32

Oh...
so... 2y=70

Answer 33

divide both sides by 2

Answer 34

so y=35?

Answer 35

Check it. If y=35 and x=y-20

Answer 36

35-20=15

Answer 37

So if he spends 15 minutes doing butterfly and 35 minutes doing breast...
Does that sound reasonable?

Answer 38

Yeah, that equals 50! :) Thanks soo much!

Answer 39

Well done.

Answer 40

Thanks for ur help!