Question

There are 120 coins made up of $5 and $10 amounting to $950.How many of each kind of coin are There?

Answer 1

To determine the number of $5 and $10 coins amounting to $950, two equations were set up and solved: x + y = 120 and 5x + 10y = 950. The solution reveals that there are 50 $5 coins and 70 $10 coins.

Step-by-step explanation:

The student's question revolves around determining the number of two kinds of coins, specifically $5 coins and $10 coins, that add up to a total amounting to $950, given that there are 120 coins in total. We can solve this problem by setting up a system of equations.

Step-by-Step Solution

Let's denote the number of $5 coins as x and the number of $10 coins as y. We can establish the following equations based on the given information:

Now, let's solve the system of equations.

Therefore, there are 50 $5 coins and 70 $10 coins.