Question

Bobby is bringing his collection of dimes and quarters to the bank to deposit into his savings account. If d represents the number of dimes in Bobby’s collection, q represents the number of quarters, and the collection is worth $63.75, which of the following equations models the value of Bobby’s collection?

A.
63.75 = d + q
B.
63.75 = 25d + 10q
C.
63.75 = 10d + 25q
D.
63.75 = 0.10d + 0.25q

Answer 1

The answer you are looking for is not A nor D, but is B or C.

Answer 2

\[ \begin{array}l\color{red}{\text{W}}\color{orange}{\text{E}}\color{#E6E600}{\text{L}}\color{green}{\text{C}}\color{blue}{\text{O}}\color{purple}{\text{M}}\color{purple}{\text{E}}\color{red}{\text{ }}\color{orange}{\text{T}}\color{#E6E600}{\text{O}}\color{green}{\text{ }}\color{blue}{\text{O}}\color{purple}{\text{P}}\color{purple}{\text{E}}\color{red}{\text{N}}\color{orange}{\text{S}}\color{#E6E600}{\text{T}}\color{green}{\text{U}}\color{blue}{\text{D}}\color{purple}{\text{Y}}\color{purple}{\text{!}}\color{red}{\text{ }}\color{orange}{\text{}}\end{array} \]

Answer 3

If each dime is worth 1/10 of a dollar, it can be represented by .1d. If each quarter is worth 1/4 of a dollar, it can be represented by .25q. When you add those two terms together, .1d+.25q, and set them equal to the total amount of money, 63.75=.1d+.25q, you get the equation that you can solve (using systems of equations) to get the number of each type of coin. So the answer is D.