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

Relax

Respuesta :

   option a should be the answer

Answer:

A. 55 dimes and 165 quarters

Step-by-step 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 = [tex]\frac{3}{4}[/tex] quarter

⇒ 220 pennies = [tex]220\times \frac{3}{4}[/tex]

[tex]=\frac{660}{4}[/tex]

= 165 quarter.

Therefore, there are 165 quarters.

Now, there is 1 dime for every 3 quarters,

i.e.  3 quarters = 1 dime

⇒ 1 quarter = [tex]\frac{1}{3}[/tex] dime,

⇒ 165 quarters = [tex]\frac{165}{3}[/tex] = 55 dimes.

Therefore, there are 55 dimes.

Option 'A' is correct.