algebra

classic Classic list List threaded Threaded
3 messages Options
Maggie Maggie
Reply | Threaded
Open this post in threaded view
|

algebra

In his coin collection of dimes and quarters, Quang has 101 coins. If the collection has a value of $14.00, how
many coins are dimes and how many are quarters?
AlgebraHouse AlgebraHouse
Reply | Threaded
Open this post in threaded view
|

Re: algebra

d = number of dimes
101 - d = number of quarters   {he has 101 coins total}

0.1d + 0.25(101 - d) = 14   {value of coin times number of coins equals total value}
0.1d + 25.25 - 0.25d = 14   {used distributive property}
-0.15d + 25.25 = 14   {combined like terms}
-0.15d = -11.25   {subtracted 25.25 from each side}
d = 75   {divided each side by -0.15}
101 - d = 26   {substituted 75, in for d, into 101 - d}

75 dimes and 26 quarters

- Algebra House
Maggie Maggie
Reply | Threaded
Open this post in threaded view
|

Re: algebra

Thank you.