Victoria is counting all of quarters and dimes from the family piggy bank for the month. If there are 12 times as many dimes are

Question

2 years ago

12

there are quarters, and the total change is worth $21.75, how many quarters and how many dimes were in the piggy bank

1 answer:

saw5 [17] · Answer 1 · 2022-08-31T11:42:52+03:00

Let number of quarters in family piggy bank = x

Let number of dimes in family piggy bank = y

Given that "there are 12 times as many dimes are there are quarters". so we can write equation:

y=12x...(i)

Given that " total change is worth $21.75".

We know that 1 quarter = $0.25 and 1 dime = $0.10

So other equation will be :

0.25x+0.10y=21.75...(ii)

Now we just need to solve both equations.

Plug (i) into (ii)

0.25x+0.10y=21.75

0.25x+0.10(12x)=21.75

0.25x+1.2x=21.75

1.45x=21.75

x=15

plug x=15 into (i)

y=12x=12*15=180

Hence final answer is given as:

Number of quarters in family piggy bank = 15

Number of dimes in family piggy bank = 180