Answer:
a) d = 3x
b) n = 3x + 4
c) p = 3x
Explanation:
The first thing we have to do is understand and translate the word problem into a math equation.
Let's first start with using different variables for each denomination and later we will convert everything in terms of x which is the number of quarters.
Let
p = number of pennies
d = number of dimes
q = number of quarters
- The statement "twice as many dimes as quarters" translates to
d = 3q (1)
- The statement "4 more nickels than dimes" translates to:
n = d + 4 (2)
- The statement three times as many pennies as quarters becomes
p = 3q (3)
Now wherever there is a q in the equation, substitute it with x
Equation (1) d = 3q ==> d = 3x (substituting x for q)
Equation (2) n = d + 4 ==> n = 3x + 4 (substituting 3x for d)
Equation (3) p = 3q ==> p = 3x (substituting x for q)