Question

There is a sales tax of $8 on an item that costs $82 before tax. A second item costs $123 before tax. What is the sales tax on the second item?

Answer 1

@johnweldon1993

Answer 2

Well we can just set up a ratio here

\[\large \frac{costA}{taxA} = \frac{costB}{taxB}\]

\[\large \frac{82}{8} = \frac{123}{x}\]

and solve for 'x'

Answer 3

i would of never thought to do that set up but is it 12?

Answer 4

So we would cross multiply here

\[\large 82x = 123\times 8\]

And that would show us that

\[\large x = \frac{123 \times 8}{82}\]

and yes you get 12 :) great job!

Answer 5

one more question?

Answer 6

Sure :P

Answer 7

On the blueprint of a house, 24 millimeters represents 5 meters. The length of the living room is 30 millimeters on the blueprint. What is the actual length of the living room? would I solve it just like the last one?

Answer 8

@johnweldon1993

Answer 9

sorry hun, helping someone else

And yeah, set up a ratio again :)

Answer 10

its okay and \[\frac{ 24 }{ 5 }=\frac{ 30 }{ x }\] that?

Answer 11

Perfect!

Answer 12

150?

Answer 13

Forgot to divide by the 24 :P

Answer 14

Remember cross multiply

\[\large \frac{24}{5}= \frac{30}{x}\]

\[\large 24x = 150\]
\[\large x = \frac{150}{24}\]

Answer 15

6.25

Answer 16

There we go! :)

Answer 17

Maya runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 \[\frac{ 7 }{ 50 }=\frac{ 75 }{ x }\]minutes?

Answer 18

@johnweldon1993 last one I swear

Answer 19

mmhmm sure ;P

haha and nope not quite

Remember you have to stay consistent with what you have on top and on bottom

here you have

\[\large \frac{miles}{minutes} = \frac{minutes}{miles}\]

You need them to be the same on top and bottom

so we have

\[\large \frac{7}{50} = \frac{x}{75}\]

Answer 20

oh I thought 75 had to be on top

Answer 21

Nope, if you did want 75 on top...you would need to 50 on top in the other one too, just have to stay consistent :)

Answer 22

0.7?

Answer 23

not quite what I get...

Answer 24

so what did I do wrong?

Answer 25

What did you do wrong?

We have

\[\large \frac{7}{50} = \frac{x}{75}\]

cross multiply
\[\large 50x = 75\times 7\]
\[\large x = \frac{75 \times 7}{50}\]

Answer 26

10.5

Answer 27

There ya go :)

Answer 28

thank you so much(:

Answer 29

Anytime :)