Question

A container holds a combination of dimes and quarters. There are 178 coins in all, and their total value is $29.80. The system of equations models this situation, where x is the number of dimes and y is the number of quarters.
x+y=178
0.1x+0.25y=29.8


How many dimes and quarters are in the container?

A.
123 dimes and 55 quarters

B.
114 dimes and 64 quarters

C.
102 dimes and 76 quarters

D.
98 dimes and 80 quarters

Answer 1

Please help

Answer 2

@mathmath333

Answer 3

@Hero

Answer 4

u have the two given equations u have to solve them

\(x+y=178---(1)\\
0.1x+0.25y=29.8\\
\dfrac{x}{10}+\dfrac{25y}{100}=\dfrac{298}{10}\\
\text{multilying both sides by 100}\\~\\
10x+25y=2980\\~\\
\text{divide by 5}\\~\\
2x+5y=596-----------(2)\\~\\

\)

Answer 5

so how would i find the answee

Answer 6

answer*

Answer 7

multilying\( (1) \)by \(-2\)

\(-2x-2y=-356-------(3)\)

add \((2)\) and \((3)\)

Answer 8

I think it might be A or C

Answer 9

both are wrong

Answer 10

B?

Answer 11

can u add (2) and (3)

Answer 12

5

Answer 13

lol i m asking about the equations (2) and (3)

Answer 14

im really confused can u tell me the answer and then explain i think that would be easier

Answer 15

sry i cant tell the answer , its againts the rules

u need to solve these
\((2x+5y)+(-2x-2y)=596+(-356)\)

Answer 16

the problem is that i dont know how...

Answer 17

what is \(2-2\)

Answer 18

0

Answer 19

what is \(2x-2x\)

Answer 20

x

Answer 21

no its \(0\), \(x\) can be any unknown number

Answer 22

ok

Answer 23

just like \(2-2\)

Answer 24

ok

Answer 25

and what is \(5y-2y\)

Answer 26

3y

Answer 27

good
so what will be
\((2x+5y)+(-2x-2y)=\)

Answer 28

x-3y=249

Answer 29

240*

Answer 30

\((2x+5y)+(-2x-2y)\\
=2x+5y-2x-2y\\
=3y\)

is that right

Answer 31

yes

Answer 32

i think so

Answer 33

so
\(3y=240\)
\(y=\dfrac{240}{3}\)

Answer 34

y=80

Answer 35

so that means its D?

Answer 36

ok
\(x+y=178\\
x+80=178\\
x=?\)

Answer 37

?

Answer 38

oh wait

Answer 39

its D

Answer 40

u found \(x\) ?

Answer 41

yes x=98

Answer 42

\(\Huge \checkmark\)

Answer 43

Thanks :)