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

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 = $\frac{3}{4}$ quarter

⇒ 220 pennies = $220\times \frac{3}{4}$

$=\frac{660}{4}$

= 165 quarter.

Therefore, there are 165 quarters.

Now, there is 1 dime for every 3 quarters,

i.e.  3 quarters = 1 dime

⇒ 1 quarter = $\frac{1}{3}$ dime,

⇒ 165 quarters = $\frac{165}{3}$ = 55 dimes.

Therefore, there are 55 dimes.

Option 'A' is correct.

Answer 2

   option a should be the answer