Question

sat math workbook

1. jasina has a total of $0.80 in nickels and dimes, and she has 4 more nickels than dimes. which of the following systems of equations can be used to find out how many $n$ nickels and $d$ dimes she has?

a. $d + n = 4$
$0.1d + 0.05n = 0.8$
b. $d + 4 = n$
$0.1d + 0.05n = 0.8$
c. $d - n = 4$
$0.1d + 0.05n = 0.8$
d. $n - d = -4$
$0.1d + 0.05n = 0.8$

Explanation:

Step1: Define coin count relationship

The number of nickels $n$ is 4 more than dimes $d$, so $n = d + 4$.

Step2: Define total value equation

Each dime is $0.10$, each nickel is $0.05$, total value is $0.80$. So $0.1d + 0.05n = 0.8$.

Step3: Match to options

The system matches option B.

Answer:

B. $d + 4 = n$
$0.1d + 0.05n = 0.8$