Question in description

Question

Kendra has $9.00 in dimes and quarters. If she has 2 times, as many quarters as dimes, how many of each coin does she have? 

 

Kendra has _______ quarters and ________ dimes

Answer 1

let x = # of dimes, then 2x = # of quarters

each dime = $0.10, and each quarter = $0.25

the sum of the dimes and quarters = $9.00

 

our equation becomes $0.10x + $0.25(2x) = $9.00

combining, $0.10x + $0.50x = $9.00

$0.60x = $9.00

solving, x = 15, which is the number of dimes = 15 x $0.10 = $1.50

then 2x = the number of quarters = 30 x $0.25 = $7.50

and $1.50 + $7.50 = $9.00