To evaluate the expressions for the given situation where you have 7 pennies (p = 7) and 6 quarters (q = 6), we can proceed as follows:
1. Total Number of Coins:
The expression to calculate the total number of coins is [tex]\( p + q \)[/tex].
Substituting the given values:
[tex]\[
p + q = 7 + 6 = 13
\][/tex]
Thus, the total number of coins is 13.
2. Amount of Money in Dollars:
The expression to calculate the total amount of money is [tex]\( 0.01p + 0.25q \)[/tex].
Substituting the given values:
[tex]\[
0.01p + 0.25q = 0.01 \times 7 + 0.25 \times 6
\][/tex]
Breaking this down:
[tex]\[
0.01 \times 7 = 0.07 \quad \text{(value of pennies)}
\][/tex]
[tex]\[
0.25 \times 6 = 1.50 \quad \text{(value of quarters)}
\][/tex]
Adding these amounts together:
[tex]\[
0.07 + 1.50 = 1.57
\][/tex]
Thus, the total amount of money is 1.57 dollars.
Now, filling in the boxes with the evaluated expressions:
- The number of coins is [tex]\( p + q = 13 \)[/tex].
- The amount of money is [tex]\( 0.01p + 0.25q = 1.57 \)[/tex].
So, the final answers are:
- The number of coins is [tex]\( 13 \)[/tex].
- The amount of money is [tex]\( 1.57 \)[/tex].
