Question

8. The cost of four scarves and six hats is $52.00. The cost of two hats is $1.00 more than the cost of one scarf.
What is the cost of one scarf? (1 point)
$4.00
$5.00
$6.00
$7.0

Answer 1

Ok, so we need to make a system of equations to solve this. :)

What variable do you want to give to scarves
and what variable do you want to give to hats?

Answer 2

@CamoGreen

Answer 3

Sorry, um s for scarves and h for hats

Answer 4

@TheSmartOne

Answer 5

C

Answer 6

How did you get that answer?

Answer 7

@xDTBxBashy2004

Answer 8

Okay first equation
4s+6h=52 @TheSmartOne

Answer 9

Correct @CamoGreen

Answer 10

Okay then the next equation would be 2h=s+1
Then you would subtarct s and get 2h-s=1. Right @TheSmartOne

Answer 11

So....
4s+6h=52 > switch to...
6h+4s=52
2h-s=1

Answer 12

here's a better idea

Answer 13

k im all ears or eyes

Answer 14

why don't we make the equation from:
2h = s+1

to:

s = 2h - 1

Answer 15

ok

Answer 16

then we have the 2 equations

6h + 4s = 52
s = 2h - 1

we can then plug in equation #2 into equation #1

Answer 17

O! Substitution instead of elimination. I like that better. Lol

Answer 18

Ya I'll go that way

Answer 19

good :)

Answer 20

6h+4(2h-1)=52
6h+8h-4=52
14h-4=52
14h-4+4=52+4
14h=56
14h/14=56/14
h=4

Answer 21

Then plug it in to one of the equations. 6(4)+4s=52 > 24+4s=52 > 24+4s-24=52-24> 4s=28 > 4s/4=28/4 > s=7. Right? @TheSmartOne

Answer 22

So h=4 and s=7. 6h+4s=52 > 6(4)+4(7)=52 > 24+28=52 > 52=52 --Correct!

Answer 23

Great job! :D

Answer 24

Thank you and your brilliant mind! I never would have thought to use substitution! Thank ya!

Answer 25

Thanks!

Answer 26

Anytime! And great job once again! :D

Answer 27

Haha thanks.