Answer
Find out the number of dimes in the jar.
To prove
Let us assume that the number of nickels be x .
As given
At the end of her shift, the change in the tip jar totals $13.05.
The jar contains quarters, dimes, nickels.
The number of dimes is 3 more than twice the number of nickels .
The number of quarters is 1 less than three times the number of nickels.
Than the number of dimes = 3 + 2x
Than the number of quarters = 3x - 1
As
1 dime = $0.10
1 quarters = $ 0.25
1 nickels = $ 0.05
Than the equation becoms
0.10 × (3 + 2x) + 0.05x + 0.25 × (3x-1) = 13.05
0.3 + 0.2x + 0.05x + 0.75x - 0.25 = 13.05
0.2x + 0.05x + 0.75x = 13.05 - 0.3 + 0.25
x = 13
The number of dimes in the jars = 3 + 2x
= 3 + 2 × 13
= 29
Therefore the number of dimes in the jar is 29 .
