Question

Word Problem!! :) :)

Benny has 2 times as many dimes as quarters. If he's got $41.85 worth of dimes and quarters combined, how many quarters does he have?

Thanks!!

Answer 1

The number of quarters . . . . . Q
The value of the quarters . . . 25 Q cents

The number of dimes . . . . . . . 2 Q
The value of the dimes . . . . . . 10 (2Q) = 20 Q cents

The total value of all the coins . . . 25Q + 20Q

= 45Q cents = 4185 cents

Divide each side by 45 cents : Q = 93

2 Q = 186

Benny has 93 quarters and 186 dimes.

Check:
93 quarters are worth (0.25) x (93) = $23.25

186 dimes are worth (0.10) x (186) = $18.60

Total value of all the coins: ($23.25) + ($18.60) = $41.85 yay !