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There are 25 pennies and 5 nickles in the jar and the total money is 50 cents or 0.5 dollars.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
There are 20 more pennies than nickels in a jar.
There are 5 times as many pennies as nickels in the jar.
Let x be the number of pennies and y be the number of nickels.
From the question we can frame two linear equation in two variables:
x = y + 20 ...(1)
x = 5y ...(2)
After solving the above two linear equation by substitution method,
From equation (2) take the value of x and plug it into equation (2)
We will get:
5y = y + 20
5y - y =20
4y = 20
y = 20/4
y = 5 nickles
x = 25 pennies
As we know, a penny is worth 1 cent. A nickel is worth 5 cents
5 nickles = 25 cents
25 pennies = 25 cents
Total = 25 +25 = 50 cents = 0.5 dollars
Thus, there are 25 pennies and 5 nickles in the jar and the total money is 50 cents or 0.5 dollars.
Learn more about the linear equation here:
brainly.com/question/11897796
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