Answer:
76 quarters and 83 dimes
Step-by-step explanation:
From the information given, you can write the following equations considering that a quarter represents $0.25 and a dime $0.10:
y=x+7 (1)
0.25x+0.10y=27.30 (2)
x is the number of quarters
y is the number of dimes
Now, you can replace (1) in (2):
0.25x+0.10(x+7)=27.30
0.25x+0.10x+0.7=27.30
0.35x=27.30-0.7
0.35x=26.6
x=26.6/0.35
x=76
Then, you can replace the value of x in (1) to find the value of y:
y=76+7
y=83
According to this, the answer is that there are 76 quarters and 83 dimes in the jar.
