Write an equation you could use to solve each problem. Solve each equation by systematic trial.
Josie had only nickels in her purse. The value of the coins was 80 cents. How many nickels were in Josie's purse?
To solve this problem, we can use the following equation:
5x = 80
In this equation, 'x' represents the number of nickels in Josie's purse, and we know that each nickel is worth 5 cents. So, by multiplying the number of nickels (x) by the value of each nickel (5), we get the total value of the coins, which is 80 cents.
Now, to solve this equation by systematic trial, we can start by trying different values of 'x' until we find the solution that satisfies the equation.
Let's try different values of 'x':
For x = 1:
5(1) = 5 (which is not equal to 80)
For x = 2:
5(2) = 10 (still not equal to 80)
For x = 3:
5(3) = 15 (still not equal to 80)
For x = 4:
5(4) = 20 (still not equal to 80)
For x = 5:
5(5) = 25 (still not equal to 80)
For x = 6:
5(6) = 30 (still not equal to 80)
For x = 8:
5(8) = 40 (still not equal to 80)
For x = 10:
5(10) = 50 (still not equal to 80)
For x = 16:
5(16) = 80
Finally, we find that when x = 16, the equation 5x = 80 is satisfied. This means there were 16 nickels in Josie's purse.