Problemas
Anatoliy has a combination of 104 nickels and quarters totaling 22 Which system of linear equations can be used to find the number of nickels, n, and the number of quarters q, Anatoliy has? n+q=22 0.05n+0.25q=104 n+q=104 5n+25q=22 n+q=104 0.05n+0.25q=22 n+q=22 5n+25q=104
Roztwór
Roxana
maestro · Tutor durante 5 años
4.3
(257 Votos)
Respuesta
The correct system of linear equations is
and
.
Explicación
## Step 1The problem involves the creation of a system of linear equations based on the given information. The information provided is that Anatoliy has a combination of 104 nickels and quarters totaling $22.## Step 2The first equation is derived from the total number of coins Anatoliy has. This is represented by the equation
, where
is the number of nickels and
is the number of quarters.## Step 3The second equation is derived from the total value of the coins Anatoliy has. This is represented by the equation
, where
is the number of nickels and
is the number of quarters.## Step 4The other options do not accurately represent the given information. For example, the equation
does not correctly represent the total number of coins, and the equation
does not correctly represent the total value of the coins.