Question

A jar of coins contains dimes, pennies, and quarters. There are 220 pennies in the jar. There are 3 quarters for every 4 pennies, and there is 1 dime for every 3 quarters. How many dimes and quarters are in the jar?

A.55 dimes and 165 quarters
B.98 dimes and 293 quarters
C.73 dimes and 98 quarters
D.165 dimes and 55 quarters

Answer 1

option a should be the answer

Answer 2

A. 55 dimes and 165 quarters

Explanation:

Given,

The number of pennies in the Jar = 220,

∵ There are 3 quarters for every 4 pennies,

i.e. 4 pennies = 3 quarters,

⇒ 1 penny =
`(3)/(4)` quarter

⇒ 220 pennies =
`220* (3)/(4)`

`=(660)/(4)`

= 165 quarter.

Therefore, there are 165 quarters.

Now, there is 1 dime for every 3 quarters,

i.e. 3 quarters = 1 dime

⇒ 1 quarter =
`(1)/(3)` dime,

⇒ 165 quarters =
`(165)/(3)` = 55 dimes.

Therefore, there are 55 dimes.

Option 'A' is correct.