Question

A coin bank contains nickels and dimes. The
number of dimes is 10 less than twice the
number of nickels. The total value of all
coins is $2.75. Find the number of each type of coins in the bank. Show work Answers 1. minhkhoi Using a system of equations, it is found that there are 15 nickels and 20 dimes on the bank. ### 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. • Variable y: Number of dimes. He has an amount of$2.75 in coins, hence, considering the value of each coin:
0.05x + 0.1y = 2.75
The number of dimes is 10 less than twice the number of nickels, hence:
y = 2x – 10.
Replacing in the first equation:
0.05x + 0.1(2x – 10) = 2.75
0.05x + 0.2x – 1 = 2.75
0.25x = 3.75
x = 3.75/0.25
x = 15
y = 2x – 10 = 2(15) – 10 = 30 – 10 = 20.
Hence there are 15 nickels and 20 dimes on the bank.
More can be learned about a system of equations at https://brainly.com/question/24342899
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