An equation is formed of two equal expressions. Amber has 50 pennies and 10 dimes.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of pennies be represented by x, while the number of dimes is represented by y. Therefore, the statement "there are five times as many pennies as dimes" can be written as,
x = 5y
Now, since the sum of all the coins is $1.50, therefore, the sum can be written as,
0.01x + 0.1y = 1.50
0.01(5y) + 0.1y = 1.50
0.05y + 0.1y = 1.50
0.15y = 1.50
y = 10
Now, the value of x will be,
x = 5y
x = 5(10)
x = 50
Hence, Amber has 50 pennies and 10 dimes.
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