SOLUTION: Systems of equations using world problems A jar of dimes and quarters has contains $15.25.There are 103 coins in all.How many of each are there?

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Question 1150298: Systems of equations using world problems
A jar of dimes and quarters has contains $15.25.There are 103 coins in all.How many of each are there?
Answer by greenestamps(13216) About Me  (Show Source):
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The numbers involved in the problem are the numbers of coins of each type, and the values of the coins.

You are given the total number of coins and their total value; your two equations will be about the numbers of coins and the values of the coins.

1. Number of coins

The total number of coins is 103, so
let x = number of quarters
let y = number of dimes

x%2By+=+103 [1]

2. Value of coins -- 25 cents for each quarter and 10 cents for each dime

The total value of the coins is $15.25, or 1525 cents.

The value in cents of the x quarters is 25x
The value of the y dimes is 10y

25x%2B10y+=+1525 [2]

There is your system of two equations. Solve the system by your favorite method.