How many dimes and quarters are there? 💰🪙

[ParanoidUser]

There are 20 dimes and quarters in a bag. If the domes were quarters and the quarters were dimes, they would be worth 90 cents more than they are now.

[Camarota-234]

There are 13 dimes and 7 quarters in the bag, which results in 305 cents ( 13 x 10 + 7 x 25 = 305).
If the dimes were quarters and the quarters were dimes there would be 7 dimes and 13 quarters in the bag, resulting in 395 cents ( 7 x 10 + 13 x 25 = 395).

[ParanoidUser]

There is a typo in the last equation "( 7 x 10 + 13 x 25 = 395)".

[KR-Ravindra]

There are 12 dimes and 8 quarters in the bag.

[peterbaccaro]

In order for there to be 90 more cents after the dimes and quarters were substitutes there would need to be 13 dimes and 7 quarters in the bag initially.

• 13 dimes and 7 quarters = 305 cents
• 13 quarters 7 dimes = 395 cents
• 395 cents minus 305 cents = 90 cents

[ParanoidUser]

I like the approach you have taken here. 👍