ANSWER ASAP PLEASE

Question

Ms. Davis has a jar with $9.84 worth of pennies and dimes. If there are four times as many dimes as pennies, how many pennies and dimes does Ms. Davis have? Show your work and use variables. Use the system of equations.

Answer 1

Let D be Dimes

Let P be Penies

Each Penny is $0.01 and each Dime is $0.10. Adding all Pennies and Dimes he has $9.84, so:

0.01P + 0.10D = 9.84

He has 4 times as many Dimes as Pennies, so:

D = 4P

System of equation:

0.01P + 0.10D = 9.84

D = 4P

Replacing D = 4P in the first equation:

0.01P + 0.10 (4P) = 9.84

Solve for P:

0.01P + 0.40P = 9.84

0.41P = 9.84

P = 9.84 / 0.41

P = 24

Replacing P in the second equation:

D = 4P

D = 4 (24)

D = 96

Mr. Davis has 24 Pennies and 96 Dimes.

Answer 2

p represents the number of pennies

4p represents the number of dimes

0.01 + 0.10(4p) = 9.84

Can you solve for p and answer?