There are 75.29 quarters and 79.29 dimes in the jar.
Given,
In his change jar, Thomas collects dimes and quarters.
So if he has 4 more dimes than quarters, and the total amount of money in the jar is $26.30
Thus,
Let, x be the number of dimes.
And y be the number of quarters.
If Thomas has 4 more dimes than quarters,
y = x + 7
On the other hand, the total amount of money in the jar is $26.30.
0.24x + 0.10y = 26.30
Substitute the value of y in the given equation 2
0.24x + 0.10y = 26.30
0.24x + 0.10 (x+7) = 26.30
0.24x + 0.10x + 0.7 = 26.30
0.34x = 26.30 - 0.7
0.34x = 25.6
x = 25.6 / 0.34
x = 75.29
Substitute the value of x in the given equation 1
y = x + 4
y = 75.29 + 4
y = 79.29
Hence, there are 75.29 quarters and 79.29 dimes in the jar.
To learn more about quarters here:
brainly.com/question/14198492
#SPJ4
