Question

A piggy bank contains only nickels and quarters. The total value in the bank is $3.80. Write an equation in standard form that models the possible combinations of nickels and quarters in the piggy bank.

Answer 1

.05(n) + .25(q) = 3.80

Answer 2

& can you list 2 possible combinations?

Answer 3

i can help you figure it out..

Answer 4

Sure . That works.

Answer 5

ok lets assume we have one nickel

Answer 6

thant means that n=1

Answer 7

now just solve for q

Answer 8

.05(1) + .25(q) = 3.80

Answer 9

do you know how to solve for q?

Answer 10

Yes I believe so . & it's 13?

Answer 11

very close!

Answer 12

14?

Answer 13

.05 + .25(q) = 3.80

Answer 14

Wait you'd need another nickel.

Answer 15

.05 + .25(q) = 3.80
then minus .05 from both sides
.25(q) = 3.75
then divide both side by .25

Answer 16

q = ???

Answer 17

15 *

Answer 18

ding ding ding

Answer 19

so if you have one nickel and 15 quarters you have $3.80

Answer 20

:DDD Yaay !

Answer 21

how many nickels are in a quarter?

Answer 22

5 .

Answer 23

yep! so we could take away one quarter and add 5 nickels right?

Answer 24

Yup !

Answer 25

if we did that with our 15 quarters and 1 nickel how many quarters and nickels would we have?

Answer 26

.05(5) + .25(14) = 3.80

Answer 27

well we have:
15 quarters
1 nickel

then we take away one quarter and add 5 nickels

we certainly would have 14 quarters
but how many nickels would we end up with total?

Answer 28

6?

Answer 29

yep!

Answer 30

so:
.05(6) + .25(14) = 3.80

Answer 31

Yaaaaayy !! Thanks !! :D

Answer 32

no problem! im glad you were looking for more than just an answer =) it feels wayyy better when you understand

Answer 33

Yes it does :D

Answer 34

=P