Question

Sofia has $1.90 worth of nickels and dimes. She has a total of 25 nickels and dimes altogether. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Sofia has. Define the variables that you use to write the system.

Answer 1

Answer:

The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12

Step-by-step explanation:

Given as :

The net worth of nickels and dimes = $ 1.90

The total number of nickles and dimes altogether = 25

Let The number of nickles that Sofia has = n

And The number of dimes that Sofia has = d

Now,

Since The value of 1 nickle = $\frac{1}{20}$ dollar

And The value of 1 dimes =  $\frac{1}{10}$ dollar

So, According to question

n + d = 25          ..........1

And  $ $\frac{1}{20}$ × n + $ $\frac{1}{10}$ × d = $ 1.90

Or, n + 2 d = 38        .....2

Solving Eq 1 and 2

∵  n + 2 d = 38

or, 25 - d + 2 d = 38

or, d = 38 - 25

∴ d = 13

So, The number of dimes she has = 13

And the number of nickles = n = 25 - 13

∴  n = 12

Hence The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12 Answer