Respuesta :
Using a system of equations, it is found that she has 52 nickels and 18 dimes in the desk.
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given by:
- Variable x: Number of nickels in the desk.
- Variable y: Number of dimes in the desk.
There are 70 coins, hence:
x + y = 70.
A nickel is worth $0.05, while a dime is worth $0.1, and there is a total of $4.40 in the desk, hence:
0.05x + 0.1y = 4.4.
From the first equation, we have that:
y = 70 - x.
Replacing in the second:
0.05x + 0.1(70 - x) = 4.4.
0.05x = 2.6
x = 2.6/0.05.
x = 52
Then:
y = 70 - x = 70 - 52 = 18.
She has 52 nickels and 18 dimes in the desk.
More can be learned about a system of equations at https://brainly.com/question/24342899
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