Question

question
warm-up
sometimes, more than one expression can describe the same situation.
suppose you have a pocketful of change. you have some pennies (p) and some quarters (q). one expression could be used to describe the total number of coins in your pocket:
p + q
a second expression could be used to describe the amount of money (in dollars) in your pocket:
0.01p + 0.25q
notice that each expression describes a different characteristic of the change in your pocket.
evaluate each expression for the situation where you have 6 quarters and 7 pennies in your pocket.
type the correct answer in each box. use numerals instead of words. for the amount of money, do not enter a dollar symbol.
the number of coins is p + q =
the amount of money is 0.01p + 0.25q =

Explanation:

Step1: Calculate total number of coins

We know \( p = 7 \) (pennies) and \( q = 6 \) (quarters). Substitute into \( p + q \):
\( 7 + 6 = 13 \)

Step2: Calculate total amount of money

Substitute \( p = 7 \) and \( q = 6 \) into \( 0.01p + 0.25q \):
First, calculate \( 0.01\times7 = 0.07 \) and \( 0.25\times6 = 1.5 \). Then add them: \( 0.07 + 1.5 = 1.57 \)

Answer:

The number of coins: \( 13 \)
The amount of money: \( 1.57 \)