document.write( "Question 881930: Please help me with this question. I have been working on it for over 30 minutes! I cannot figure out how to use the distributive property to express to total amount of money she has when she has 13 dimes. Thanks you in advance.
\n" ); document.write( "Sheryl saves her dimes and quarters. She currently has a total of 24 coins, all of which are dimes and quarters.
\n" ); document.write( "a. Write an equation that gives the total amount of money M (in dollars) as a function of the number of dimes d she has.
\n" ); document.write( "b. Show how you can use the distributive property to find the total amount of money she has if she has 13 dimes.
\n" ); document.write( "c. If Sheryl's 24 coins have a total value of $4.80, how many dimes and quarters does she have? Use a table of values and explain how you found your answer. \n" ); document.write( "

Algebra.Com's Answer #532612 by MathTherapy(10555) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "Please help me with this question. I have been working on it for over 30 minutes! I cannot figure out how to use the distributive property to express to total amount of money she has when she has 13 dimes. Thanks you in advance.
\n" ); document.write( "Sheryl saves her dimes and quarters. She currently has a total of 24 coins, all of which are dimes and quarters.
\n" ); document.write( "a. Write an equation that gives the total amount of money M (in dollars) as a function of the number of dimes d she has.
\n" ); document.write( "b. Show how you can use the distributive property to find the total amount of money she has if she has 13 dimes.
\n" ); document.write( "c. If Sheryl's 24 coins have a total value of $4.80, how many dimes and quarters does she have? Use a table of values and explain how you found your answer.
\n" ); document.write( "


\n" );
document.write( "
\n" );
document.write( "   Let number of dimes be d 
\n" );
document.write( "   Then number of quarters is: 24 - d
\n" );
document.write( "   With M(d) being amount of money, we get: 
\n" );
document.write( "   M(d) = .1(d) + .25(24 – d) 
\n" );
document.write( "   M(d) = .1d + 6 - .25d
\n" );
document.write( "   M(d) = - .15d + 6
\n" );
document.write( "
\n" );
document.write( "   M(d) = - .15d + 6
\n" );
document.write( "   M(d) = - .15(13) + 6
\n" );
document.write( "   M(d) = - 1.95 + 6
\n" );
document.write( "   M(d) = $4.05
\n" );
document.write( "
\n" );
document.write( "      M(d) = - .15d + 6
\n" );
document.write( "       4.8 = - .15d + 6
\n" );
document.write( "   4.8 – 6 = - .15d 
\n" );
document.write( "     – 1.2 = - .15d
\n" );
document.write( "d, or number of dimes = , or , and number of quarters:  (24 – 8)
\n" );
document.write( "You can do the check!! \n" );
document.write( "

\n" );