Question

Charles has a collection of pennies and dimes worth $0.26. He has 8 coins.

Select the TWO EQUATIONS below that make up the system of equations that represents this situation where x represents pennies and y represents dimes.

A) x+y=8
B) x-y=8
C) x+y=0.26
D) 0.01x+0.10y=0.26
E) 0.01x+0.10y=8
F) 0.01x−0.10y=0.26

Answer 1

The system of equations that represents this situation is x+y=8 and 0.01x+0.10y=0.26.

Step-by-step explanation:

The system of equations representing this situation where x represents pennies and y represents dimes is:

A) x+y=8

D) 0.01x+0.10y=0.26

To understand why these equations are correct, let's break them down:

A) x+y=8 means that the total number of pennies (x) and dimes (y) is equal to 8 coins.

D) 0.01x+0.10y=0.26 represents the total value of the coins. The value of each penny is 0.01 and the value of each dime is 0.10. The sum of the values of the pennies and dimes equals $0.26.