Answer
B is the correct answer.
Step-by-step explanation:
This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?
x = dimes x = 0.10 or 0.1
y = quarters y = 0.25
31 coins
worth $5.20 = 5.2
x + y = 31
0.1x + 0.25y = 5.2
The Least Common Multiple is used to add fractions with unlike denominators:
Three things can happen:
1/3 + 1/7 - the LCM is the product of the denominators (in this case 21)
2/8 + 3/16 - the LCM is the greater denominator (in this case 16)
2/9 + 5/6 - the LCM is lower than the product of the denominators (in this case it is 18)
The Greatest Common Factor is used to reduce fractions quickly:

÷

=

By using the GCF -in this case 24, I reduced the fraction in a single step.
If I kept dividing by 2/2 (not the GCF), it would take much longer:
48/72 = 24/36 = 12/18 = 6/9 and then I would still have to divide 6/9 by 3/3 to get 2/3