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.
Sheryl saves her dimes and quarters. She currently has a total of 24 coins, all of which are dimes and quarters.
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.
b. Show how you can use the distributive property to find the total amount of money she has if she has 13 dimes.
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.
Let number of dimes be d
Then number of quarters is: 24 - d
With M(d) being amount of money, we get:
M(d) = .1(d) + .25(24 – d)
M(d) = .1d + 6 - .25d
M(d) = - .15d + 6
M(d) = - .15d + 6
M(d) = - .15(13) + 6
M(d) = - 1.95 + 6
M(d) = $4.05
M(d) = - .15d + 6
4.8 = - .15d + 6
4.8 – 6 = - .15d
– 1.2 = - .15d
d, or number of dimes = , or , and number of quarters: (24 – 8)
You can do the check!!