Getting from point a to point b:
Hattie purchases 3 books for $3.75 each 5 notepads for $1.75 each. She uses the following equation to figure the total (before tax):
(3 x $3.75) + (5 x $1.75)
Which of the following is another that could also be used?
a. (3 x 5) + ($ 3.75 x $1.75)
b. (3 + 5) + ($3.75 x $1.75)
c. (8 x $3.75) - $10
d. 15 + ($3.75 x $1.75)
e. $3.75 + $1.75
I know that the correct answer is c just by doing the calculation, what I want to know is how is this equation derived from the data given; what principle(s) are used to come up with (8 x $3.75) - $10?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

- jagatuba

- chestercat

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- Hero

Looks like you already have help

- asnaseer

note that $3.75 is exactly $2 more than $1.75
so, for every one of the 5 x $1.75, you can move $3.75 into the $3.75 count as longas you reduce the 5 x cost by $2

- asnaseer

I hope that made sense?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- asnaseer

(3 x $3.75) + (5 x $1.75) = (3 x $3.75) + (5 x ($3.75 - $2.00))

- saifoo.khan

http://i1.kym-cdn.com/entries/icons/original/000/009/993/tumblr_m0wb2xz9Yh1r08e3p.jpg

- asnaseer

lol! ^^

- asnaseer

@jagatuba - did I explain it clearly enough for you?

- jagatuba

No I'm sorry. I still cannot see how we are getting from (3 x $3.75) + (5 x $1.75) to (8 x $3.75) - $10 nor what if any mathematical principles are involved.

- jagatuba

brb

- asnaseer

ok, do you agree with this step?
(3 x $3.75) + (5 x $1.75) = (3 x $3.75) + (5 x ($3.75 - $2.00))

- asnaseer

I don't believe there is any deep mathematical principal being used here - just re-arrangement of monetary amounts to make the calculation easier.

- asnaseer

you basically need to have noticed that $3.75 is exactly $2 more than $1.75 and that 5 x $2 is a nice easy calculation

- asnaseer

you will usually find street merchants are very good at these types of calculations. :)

- jagatuba

I see thank you for the explanation @asnaseer. Sorry it took so long for me to respond back. I was just getting off work and then went Christmas shopping.

- asnaseer

np, and yw :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.