Question

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

Answer 1

janesa has 24 coins in her pocket worth exactly $1.00. she tells her younger brother jackson that he can have the coins if he correctly guesses how many of each coin she has. she gives him the hint that there are only nickels and pennies. complete the equation that represents the total value of the nickels and p pennies 5( blank ) + p = 100 The type of coins that Janessa has = nickels and pennies.

Janessa has a total number of 24 coins

The sum of the nickels and pennies = $1.00

Let us represent the number of nickels as x

The number of pennies as y

Answer 2

Answers below

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`

B.

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