Answer:
The part of the expression that represents the number of quarters is;
D. 25·(3·x + 1)
Explanation:
From the question, we have;
The values of the coins Luis has = Nickels, Dimes and quarters
The expression that represents the value of all the coins in cents is given as follows;
5(x + 2) + 10·1 + 25·(3·x + 1)
The value of a nickel = 5 cents
The value of a dime = 10 cents
The value of a quarter = 25 cents
Therefore, the part of the expression representing the number of quarters Luis has, has 25 as a factor
Therefore, the part of the expression that represents the number of quarters = 25·(3·x + 1).