Question

3. Your piggy bank has a total of 46 coins in it; some are dimes and some are quarters. If you have a total of $7.00, how many quarters and how many dimes do you have? (

Answer 1

do u need help?

Answer 2

yes !

Answer 3

did u try?

Answer 4

yes but it is confuse and i do virtual school so its explanation on how to do it was not easy to get

Answer 5

assume that the number of dimes = X
and the number of quarters = Y

Answer 6

okay i wrote it down

Answer 7

so X+Y=46 from that we ca say that X=46-Y

Answer 8

is that clear to you?

Answer 9

yes kind of

Answer 10

what's not clear?

Answer 11

well im still not sure how to solve it

Answer 12

we still need a second equation to solve the problem

Answer 13

so would i put the equations together to make the second one?

Answer 14

not yet

Answer 15

oh

Answer 16

the second one is as follow:
10X+25Y=700

Answer 17

DO U KNOW WHY?

Answer 18

because the quarter is 25 and the dime is 10 and the total is 7.00

Answer 19

the dime = 10 cent
the quarter = 25 cent
$7=700 cent

Answer 20

okay

Answer 21

so now put them together?

Answer 22

substitute X=(46-Y) into the second equation to find Y

Answer 23

10(46-y)+25y=7.00?

Answer 24

700 NOT 7.00

Answer 25

okay

Answer 26

CAN U FIND Y?

Answer 27

- 460 from both sides? or y ?

Answer 28

YES

Answer 29

-460

Answer 30

ok

Answer 31

i got 240

Answer 32

WHAT DID YOU GET?

Answer 33

SO 15Y=240
Y=???

Answer 34

y= 16

Answer 35

X=?? USE THE FIRST EQUATION

Answer 36

x = 36

Answer 37

X=46-Y

Answer 38

x= 30

Answer 39

SO NUMBER OF DIMES = 30
NUMBER OF QUARTER = 16

Answer 40

thank you i understood much better now

Answer 41

30 DIMES + 16 QUARTERS = 700 CENTS OR $7.

Answer 42

you welcome