Mathematics: Complete the equation that represents the total value of the nickels and p pennies

Thirty two and one hundred six thousandths....

Complete the equation that represents the total

marithatkid

08.02.2022

Answers below

Step-by-step explanation:

Equation

Let's call:

p = number of pennies Janesa has in her pocket

n = number of nickels Janesa has in her pocket

She has 24 coins in total, thus:

$p + n=24\qquad\qquad [1]$

Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

0.01p+0.05n=1

Multiplying by 100:

$p+5n=100\qquad\qquad [2]$

A. Completing the equation:

5n+p=100

From [1]:

p=24-n

Substituting into [2]:

24-n+5n=100

Simplifying:

24+4n=100

Rearranging:

4n=100-24=76

n=76 / 4= 19

p=24-19=5

B. There are 5 pennies in Janesa's pocket

C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05

The total value of the pennies is $0.05

D. The total value of the nickels is 19*$0.05 = $0.95

E. Jackson should say she has 19 nickels and 5 pennies

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