Answered

Get the best answers to your questions with the help of IDNLearn.com's experts. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

Kendra has $6.00 in dimes and quarters. If she has 2 times as many quarters as dimes, how many of each coin does she have?

Sagot :

IGreenidn
Make a system of equations.

[tex]\sf0.10d+0.25q=6[/tex]
[tex]\sf~q = 2d[/tex]

Plug in 2d for 'q' in the first equation:

[tex]\sf0.10d+0.25q=6[/tex]

[tex]\sf0.10d+0.25(2d)=6[/tex]

Multiply:

[tex]\sf0.10d+0.50d=6[/tex]

Combine like terms:

[tex]\sf0.60d=6[/tex]

Divide 0.60 to both sides:

[tex]\sf~d=10[/tex]

Now plug this into any of the two equations to find 'q':

[tex]\sf~q = 2d[/tex]

[tex]\sf~q = 2(10)[/tex]

[tex]\sf~q = 20[/tex]

So she has 10 dimes and 20 quarters.
Siahsavageidn
.10x = dimes  ----------\
                               + 6.00
2(.25x) = quarters---/


.10x + 2(.25x) =6.00                 .10(10) + 2(.25(10)) =6.00
10x + 50x = 600                              1 + 2(2.50) = 6.00
60x = 600                                          1+ 5.00 = 6.00
x = 10                                                    6.00 = 6.00
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.