Question

You have a jar of pennies and quarters. You want to choose 15 coins that are worth exactly $4.35

A. Write and solve a system of equations that models the situation
B. is your solution reasonable in terms of the original problem? explain.

Answer 1

please help me!!!!

Answer 2

let us say p = "how many pennies there are" and q ="how many quarters there are"

if you tip over the jar, and start counting them all, how many would you end up with?

Answer 3

20

Answer 4

heheh 20?
well

anyhow.... if you just hmmmm hold the mayo
alright

notice that 4.35 is what you'd want to choose

Answer 5

yea...

Answer 6

so, what is stated is that, you'd pick from the jar, 15 coins, quaters and pennies
and those 15 coins will add up to $4.35

so, let's us see, $4.35 is really 435 pennies

so if "p" is the quantity of penny coins
and "q" is the quantity of quarter coins

\(\Large \bf p + q = 15\)
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there is 1 penny per penny, well that's obvious
and there are 25 pennies per quarter

how many pennies worth are there? well 1 * p
how many pennies are there in the quarters? well 25 * q

so

1*p + 25*q = 435 pennies
or
\(\Large \bf p+25q = 435\)