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

if you were to use pennies as the base unit

so 10 pennies per dime
and 25 pennies per quarter

they all sum up to 6,375 pennies


Bobby has got "d" dimes and "q" quarters
the amount of dimes wlll be 10d
the amount of quarters wiill be 25q

so one can say that

10d + 25q = 6,375

if you were to use dollars, there are 100 pennies in 1 dollar, so divide all by 100
see what you get

Answer 2

@jdoe0001

Answer 3

thank you, i got it